Being that central Texas can get up to 115... NO.

Either get an insulated shed that can be heated and cooled and is well protected from the weather(austin gets ALOT of huge hail) or just keep everyone inside.

Humidity also varies greatly. Some days it can be 20% and some days it can be near 100% without rain. I don't see how that would be healthy for them.

Florida, yes. Texas, hell no.