I've kept my rat colony in the same room with my snakes.
No issues. In fact, I think the snakes' feeding responses got better.
And regarding keeping rats in heat, I've kept rats in 90 degrees no problem and breeding kept up as normal. Keep air circulating as mentioned. Also putting frozen water bottles and granite/tile slabs in the tubs will help lower temperatures as well. The rats lie on the granite/tile to lower their body temps.