The problem you have is with the FAA in that you'll need an ATP-Airplane rating in order to be qualified to work for an airline. If you can get that flying the C-12 or similar you'll be golden as you funky-lift time will be icing on the cake.

I'd start at the local FISDO and see if they'd be willing to MIL competency ATP-Airplane given your experience. I haven't looked at the ATP-PTS in a while so I don't even know if it's addressed.