My living room is up in the mid high 80's in the day, and when it's not too cold out at night, due to my grow light.
I keep the mantis' in the dining room and they are dandy with it. I do have to mist them more on hotter days.
I actually had to put a plastic sheet up to divide my bedrooms and bathroom from the living room, to keep it cooler in the back. I have earthworms in my bedroom, cause I have a a/c unit on in there, yes, it's a/c time in phoenix, cause my worms need it in the 60's or low 70's to be productive.
I keep the partition open in the evening, to warm the rear of the house with the excess heat from the front of the house, that is way warmer than necessary, in the evening when the grow light is on.
I keep my bedroom door open about 6 inches so the cool air spills out into the hallway and onto the table my tarantula sits on, and keeps my tarantula cool enough, and the other room and bathroom nice, but not too cold.
Mantis' and crickets, and tropical fish in southside or front of house, the warmest part, and cooler temp lovers, worms and tarantula, in the back/northside of the building.