I've seen a few things that make Vrabel seem like a bit of a longshot. Supposedly he has his sites set on the Patriots job, which would be obvious since he played there and they have a good young QB.
Also I read he wants a direct connection to ownership...and the Bears job is about as far from that as you can get. You have 2 steps between the coach and ownership here - GM and then Warren and then ownership.
But still they should interview him, and I suspect they will
My gut says the next coach will be one of these 3: Ben Johnson, Brian Flores or Pete Carroll.