Josh - Florida and California have great differences with respect to climate, especially temps. Triple Crown requires way too many chill hours.
The following is an excerpt from the University of Florida Institute of Food and Agricultural Sciences, published in 2013. Keep in mind, just cause a sertain cultivar is on the list does not mean it is locally available.
Cultivars
'Apache' is an erect, thornless blackberry bush released by the University of Arkansas. In Arkansas, it produces higher yields and larger fruit than the other thornless cultivars, 'Arapaho' and 'Navaho'. 'Apache' produces a 10 g berry, which is the largest of the three thornless cultivars. Berries are conical in shape with a glossy black finish. Soluble solids average 10 °Brix, and fruit firmness is acceptable and similar to that of 'Arapaho'. 'Apache' has not been adequately tested in North Florida, although it is expected to do well in areas where 'Arapaho' and 'Navaho' have done well. For additional information, consult Clark and Moore (1999a). 'Apache' is now under trial at the UF NFREC–Quincy.
'Arapaho' is an erect, thornless blackberry bush released from the University of Arkansas breeding program (Moore and Clark 1993). It has good fruit quality and ripens before 'Apache' and 'Navaho'. It is moderately vigorous. Symptoms of rosette have not been observed. Yield characteristics in North Florida have been as follows: yield of 1.7 tons/acre, berry weight of 4.5 g, and soluble solids of 10 °Brix. For additional information concerning the performance of 'Arapaho' in North Florida, consult Table 1. In Florida, it is likely only adapted to extreme North Florida. 'Arapaho' is now under trial at the UF NFREC–Quincy.
'Brazos' is an erect, thorny blackberry cultivar released by the Texas Agricultural Experiment Station (Lewis 1959). Yields have generally been high in North Florida and South Georgia. The fruit are medium in size. Since fruit are high in acidity, 'Brazos' is mostly used for jams, jellies, and baking. 'Brazos' is self-fruitful and generally ripens from mid-May to late May. Rosette disease is a serious problem. This disease contributes to productivity loss in 'Brazos' blackberry plants with age.
'Chester' is a semi-erect, thornless blackberry that may require trellising. 'Chester' has a wide range of adaptability in the United States, but to our knowledge it has not been tested previously in Florida. 'Chester' reportedly produces a high yield. Berry size is medium large (about 5 g), and flavor is mild. Ripening date is July. 'Chester' is currently under trial in North Florida at the UF NFREC–Quincy. It is not recommended for Florida because it has a high chilling requirement.
'Chickasaw' was released in 1999 by the University of Arkansas. It is an erect, thorny blackberry bush that is among the highest-yielding cultivars in Arkansas. Berries are long and cylindrical. Berry weight is about 7–10 g, and firmness is rated high. Berries are sweet, averaging about 9–10 °Brix. Quantitative yield data are not available for Florida. 'Chickasaw' has better postharvest keeping quality than 'Shawnee'. For more information, refer to Clark and Moore (1999b).
'Choctaw' is an erect, thorny, high-yielding blackberry cultivar from the University of Arkansas. The fruit are medium in size (about 5 g) and moderately sweet in flavor. This cultivar is most noted for early ripening, small seed size, and good flavor. Consult Moore and Clark (1989a) for more information.
'Flordagrand' was released in 1964 by the University of Florida for home and local markets. Flordagrand is adapted to Central Florida, where it is evergreen in growth habit and requires a pollenizer. 'Flordagrand' has a trailing growth habit. The berries are oblong in shape, shiny black in color, and average just over 5 g. The berries are tart in favor (high in acidity), and soluble solids average 8 °Brix. It is not often grown any longer. For more information, refer to Shoemaker et al. (1964).
'Kiowa' is a large-fruited, erect, thorny cultivar from the University of Arkansas breeding program. A large fruit size (> 10 g) is maintained throughout the season. It has good firmness and flavor. 'Kiowa' averages 10 °Brix. For more information, consult Moore and Clark (1996). 'Kiowa' is now under trial at the UF NFREC–Quincy.
'Natchez' is an erect, thornless blackberry recently released and patented by the University of Arkansas. 'Natchez' has produced very high yields in Arkansas and is expected to supplant or replace 'Arapaho'. Average berry weight is medium to high (5–8 g). Soluble solids average 8.7 °Brix. Berries are very firm and attractive. 'Natchez' has not been tested previously in Florida, although it is currently under trial at the UF NFREC–Quincy. For more information, consult Clark and Moore (2008).
'Navaho' is an erect, thornless blackberry cultivar from the University of Arkansas breeding program. Yields in Arkansas are moderate to high. In Florida, yields have been 1.8 tons/acre or slightly higher than that of 'Arapaho' (Table 1). The berries are small to moderate in size (3.5–4 g) and moderately sweet in flavor (9 °Brix). Disadvantages include late ripening and a prolonged ripening period. Consult Moore and Clark (1989b) for more information. 'Navaho' is now under trial at the UF NFREC–Quincy.
'Oklawaha' was released by the University of Florida in 1964. It is semi-evergreen to evergreen and has a trailing growth habit. 'Oklawaha' requires trellising. It was released as a pollenizer for 'Flordagrand'. Similarly, 'Oklawaha' is self-unfruitful and requires a pollenizer. Berries are moderate in size. Soluble solids average about 8 °Brix. It is not often grown any longer. Refer to Shoemaker and Westgate (1964) for more information.
'Ouachita' is an erect-growing, thornless cultivar released from the University of Arkansas breeding program (Clark and Moore 2005). It is expected to do well where 'Apache', 'Arapaho', and 'Navaho' have performed well. Desirable characteristics of 'Ouachita' include consistent high yields, large fruit size, and good postharvest keeping quality. Fruit averages about 10 °Brix and is larger than that of 'Arapaho' and 'Navaho'; yields are comparable to 'Apache'. For more information, consult Clark and Moore (2005). 'Ouachita' is now under trial at the UF NFREC–Quincy.
'Osage' is the most recent cultivar from the University of Arkansas breeding program (Clark 2013). It is an erect thornless cultivar with excellent post harvest qauality.Yield is medium high and berry size is medium (5a). Soluble solids average 10 °Brix
'Shawnee' is a 1984 release from the University of Arkansas breeding program. It has a prolonged ripening period during which the fruit retain a large size throughout. This cultivar has largely been replaced by 'Choctaw,' 'Chickasaw,' and 'Kiowa'.
'Triple Crown' is a semi-erect, thornless blackberry that may require trellising. 'Triple Crown' is very productive with large, sweet berries. Berries are firm with a good sugar/acid balance. Ripening date is early July. 'Triple Crown' is grown in central and northern North America. 'Triple Crown' requires a high chilling requirement and is not adapted to Florida.
'Tupi' is a thorny, semi-erect blackberry that was developed in Brazil and is the most common commercial blackberry cultivar in Mexico. In low-chilling areas of Mexico, flower bud development is promoted by chemical defoliation and application of gibberellic acid. 'Tupi' produces a large fruit with a good sugar/acid balance. 'Tupi' has not been tested previously in Florida, but is currently under trial at the UF NFREC–Quincy.