Plastic drawers would give an added advantage for organization as well as extra space. Should work just fine, may have to mist once or twice a day to keep humidity in key ranges.

If you do decide to fruit outside, I would suggest making sure that you have a very good colonization-to-substrate ratio to help avoid contams, though I can't guarantee contam activity in your warm, humid area will be a small problem.

Keeping them in the tubs while outside so they can benefit from the heat, but not necessarily be susceptible to contams, would probably be the best bet.

I hope this advice helps as I am not sure how you will be growing these and what substrate you will be using (Brown Rice Flour, rye grain, ect).

Good luck and let us know how it goes!