Lostson,
Don't let the issue of possible relocating stress /worry you. Take one step at a time. There's always the FMLA that you or your mom can use if the situation arises that he does need to relocate... BUT, if the coordinator you spoke with indicated that living 3.5 hours distance away from the center, isn't an issue, then relocating is not something you need to worry about
I am glad that yor dad is willing to have you begin the process for dual listing. While your dad is in the hospital being taken care of, this is a good opportunity to start the process...it's possible by the time he gets discharged, you'll have an appt to see the other transplant center . Fingers crossed