Welcome to the forum!
I can't help you with the soil, but there are garlic varieties better suited to hotter areas, and they are softneck varieties, not the hardneck, that do better with a cold winter. I have read that in these areas that the garlic is planted in early spring, rather than fall, and grown straight through, rather than planting in the fall. And maybe you can find some varieties grown in hot areas like Thailand, where a lot of garlic is used, so they have some way of growing it! Your problem may be getting the proper varieties. Here, we have companies that we can order many different varieties of garlic from, but you might not have that.