I'll give it a try:
New England Patriots - Mike Vrabel - If he goes elsewhere, this is a HUGE lose for the Pats**. He is a winning coach and can build a program. Seems like a good fit for NE. I don't like this because he makes the Pats formidable.
New York Jets - Rex Ryan. The Jets are going to Jets. Rex will sell them on his time there going to two AFC Championship games, and provide a bevy of excuses for his following years there and in Buffalo. Also, really hope this happens.
Chicago Bears - Todd Monken - I think Johnson stays away from this division and rookie-laden team. He has a better option below. Monken jumps on the chance to coach a young QB and have a HC job, and the Bears are happy to have someone who ran a great offense in Balt. Another option is Carrol. The Bears here want someone who can get the most out of their young team. Once Carrol has the team up to par, they can transition to another HC.
New Orleans Saints - Kellen Moore- Brady won't get the gig yet, nor will he want to leave for this job. Moore has been at several places around the NFL as an OC and will be able to harness that, build a great staff, and keep the Saints running. Another option: David Shaw, a great coach at Standford until an inability to recruit got them. He would also be able to assemble a staff and pull a quick turn around.
Jacksonville Jaguars - Ben Johnson- Agree that the Jags wan an offensive mind, and they get on here. Johnson gets a team with good talent (for a team with a HC opening). He is intrigued in trying to resurrect T. Lawrence.
Las Vegas Raiders - Byron Leftwich-The raiders want a steady hand who is offensive minded. Leftwich is that. Other options that could assemble a staff to turn this mess around include Flores, David Shaw.