Am I the only one who'd be very ok with AIs replacing referees?
As has been mentioned I think a SkyJudge/Ref would be the best interim solution. I'd go a step further though and have the SkyJudge/Ref not be affiliated with the NFL. Have them be certified/hired by the NFLPA.
I haven't really thought through all the implications, but at least there would be one person at the game that would be more concerned with what's best for the players and not the NFL.