I've never keg carbed, but if it was me, I would force carb with the shake method, but do it less than last time. Unhook the gas line, let the extra pressure out, then set to serving pressure and leave until the Super Bowl.
Basically you are cutting a corner to take maybe a week out of the process, but you are finishing with the set and forget method to ensure you don't go too far.
Will this work? I have no idea. But at least it makes sense to me. Good luck.