I grew apples in a climate just as hot and humid in South Carolina. If I were you, I would try most any russet variety (Hudson's golden gem,
russet beauty, roxbury russet,and brown russet are very good) and Pristine(small but excellent golden type) and Ozark Gold (huge awesome golden type). They will take the heat and humidity with minimal spraying. So will the russets. Gala will have major problems with rot unless you spray constantly, If you are on a rigorous spray program Gala will be a healthy tree and make good fruit but is VERY susceptible to fruit rots before it is fully ripe. Tropic snow is the best low chill peach, IMO. Back to apples, Reverend Morgan is very good. Bramley's seedling in a hot humid climate has a near perfect sugar acid balance and is an excellent dessert apple, an Englishman would drop dead from shock with a smile on his face if he tasted a ripe one from a hot climate....A far cry from the very acid cooking apple it is in cool England. I tried growing every apple variety referenced as growing well in a warm or hot or humid environment, these were some of the best of the 25-30 I fruited. If you have questions about a specific variety,
I can tell you what its chances are before you even try planting it. Tolerance to heat and humidity will determine success or failure for a variety. My trees in SC usually held at least half of their leaves year round. Dorsett golden and Anna fruited but were inferior to any of the apples I mentioned above.