You are lucky. Mine can't have a bed because he pees on it and then chews it up. He only gets blankets. I have no issues with peeing elsewhere in the house. Fezzik refuses to sleep around me unless he is really tired. He also moves around a lot because he wants attention and wants to play. He has only slept in the car next to us.
They do have raised beds and cooling mats, but I can't recommend anything.
Also, I see you live in New Hampshire. I live near Worcester, MA and would love to have play dates if you are anywhere close enough to meet halfway.