I enjoyed football till 2:30am a couple weeks back with the Oakland/SD game. Obviously 11:30EST for a double header is a bit ridiculous, but I wouldnt mind them swapping the Thursday night game for a double header on Sunday night or Monday night with an earlier start time. You'll still get your major network games, still get to "expose all the teams" and all pretty much in prime time.. and you dont have to worry about terrible Thursday games or player safety because of a way too short week.
Aside from the opening week when everyone is amped for action, won't happen. The ratings for that late night game were embarrassing for the NFL. Approximately 2.5 million people watched the game, total, and that includes the local markets for each team that were showing the game on regular channels in addition to NFL Network.