I have many different kinds, many left over from previous scripts. There's some of everything from alprazolam to zopliclone. All are either in zip-lock type plastic bags (sealed, minimal headspace) or factory-sealed stock bottles. Would moisture be so much of a concern? As for room temperature, that can easily top 30 C where I live (summer, no HVAC, poor ventilation, etc.).
I guess I might as well go into how I store these things a little. When I get a sealed bottle, I leave it be. I figure cracking it open would reduce shelf life. Anything from a brick-and-mortar pharmacy goes straight into a 5 mil bag with as much air as possible pressed out. I do this to save space: all of those bottles would fill several shoeboxes, whereas all the bags neatly fit into a small box, roughly 4 x 7 x 3".