I'd probably go by process of elimination:
Dallas - First one out. Don't want to deal with that owner, even if he signs people.
Chiefs - Second one out. If the rumors are correct that the GM is telling coaches who to start, no way.
Cincy - Third one out. Cheap owners, and you're never going to fix that.
Philly - Fourth one out. I think the owner is pretty active, and I don't want to follow Andy Reid. Plus, that team seems to have some problem children on the roster.
San Diego - Fifth one out. GM seems to be a little bit of a control freak.
Ny Jets - I'd be fine with this team, but it's a bit of a media circus and has a problematic roster.
Carolina - Fine team to take over, but the market is a little small.
Minnesota - Ownership seems stable, good base roster to build from. Could be first, but will probably be second.
Cleveland - If you can rebuild this team, you will be a god in Cleveland. Granted, it's Cleveland, but it's a team with history and pride that really needs to restore its bite. Kind of like the Chiefs, but my impression is that I wouldn't have the GM telling me which QB to start here.
I don't pay that much attention to the dramas on other teams, so I could be missing some big red flag on a team. Honestly, I have no idea what I'm talking about for the most part.
In the final seven games of the 2013 season, the Chiefs averaged 34.6 points per game, scored 38 points or more 4 times, and went 2-5. The NFL has ruined the sport.