You'll find success faster if you split up and join the talent pool sooner rather than later. If you're trying to get hired as a team, that sounds new, so employers might not have heard of such a thing. It's the first time I've heard of something so preposterous. Maybe if it was a progressive state like Colorado, I could understand, but Tennessee? I can't stand the hot, humid summers myself. Then you have chiggers an…
My previous company also was relocating and we wanted to stay as a team. We sent few e-mails to companies that had similar profile. We thought about placing advertisement in national and financial newspaper, but because it was relocation and not lay-offs we were not sure if that would backfire. Few companies hired more than 3 persons each out of it and maybe one had small team afterwards.
You have to be lucky to pull this off.