I don't know who's doing what on NYE, but I wouldn't rely on being able to get food in a pub, as they'll be rammed. Might be ok if you're there early though.
Might be worth trying Babbity Bowster or Blackfriars in Merchant City, both do food, good beer and might have live music on.
Bloc is another good bet, but again will want to get there early for a shot at a table.