Bananas are really easy because they are not salt sensitive. You can use salt based chemical fertilizers on bananas and they will not burn easily. I have a few different fertilizer blends that I use for different plants based on their npk requirement or sensitivity to fertilizers. For some sensitive plants I use mild organic fertilizer, for others I have one that is almost organic but not totally and for some stuff like banana and pineapples and dragonfruit I use water soluable salts. The one Im using for bananas is 15-5-15 with micro (peters, jacks brand). Or when planting bananas, Ill add compost and till that in. Only for soft heavy feeders will I mix in compost. For hardwood trees, just top dress mulch. For bananas, heavy compost tilled into soil at planting time, top dress with mulch and then stronger fertilizer occasionally. Just dont go too crazy, it doesnt take much salts to get the job done. Bananas are not really susceptible to aphids or other bugs so its not a huge concern but some heavy feeders like tomato and watermelons can get infested with bugs when using salts. Moderation and understanding what types of plants like what type of fertilizers is key. Using small amounts more often is best. Like small amounts every month while its the warm season.
If you want to keep it organic, you could use something like composted chicken manure and postasium sulfate or sul-pul-mag