I would contact local rabbit rescues in your area and ask for courtesy listings as well.
Also, rabbits can travel quite well -- our director moved from NC to WI with 10 rabbits and all came through fine -- if you're concerned that he can't travel.
We are as gods to the beasts of the fields. We order the time o' their birth and the time o' their death. Between times, we ha' a duty. - Terry Pratchett.
"Men have forgotten this truth", said the fox, "But you must not forget it. You become responsible, forever, for what you have tamed. - Antoine de Saint-Exupéry