I don't think you can do this unless you're completely prepared to walk away from Cutler entirely, regardless of another team making an offer or not. This move would do nothing but piss off the Cutler camp and make further negotiations on a contract nearly impossible because of the ~$8MM slap in the face of not making the full franchise offer. Even if he really doesn't play much for the last half of the season? It seems reasonable if the guy can't stay healthy for the Bears to look for a way to lower that hefty price tag somehow, or seek a method of compensation if he wants to go elsewhere and make more money.