Queiroz will almost certainly be the next manager. Not only to keep the Portuguese players happy but to bring in the young stars from Portugal (there seem to be more and more of them every year). He has spent more time with Sir Alex than anyone and would definitely be given a chance at making it as manager. I don't see him staying there very long after he's made manager but that's irrelevant. The only thing that could change this is if Fergie stays for quite a few more years and Queiroz leaves in impatience.
The eventual 1st choice would be Roy Keane. We need someone with a personality and resolve of steel (like Sir Alex) to take the reigns for the long term future, who's also from Great Britain preferably and knows the United way. Hopefully he'll show his true colours with Sunderland next season and amaze everyone with his managerial skills. Just because he was a bit crazy on the field (in a good sense) doesn't mean he can't adjust to his position and accept the responsibility of being manager of United. The exact same thing could apply to Solsjaer or Giggs in the future but they are too many years away from being up to such a task.
I can't think of a single other name that would suffice for United. I'm only a fan of Queiroz as an assistant, but I'd give him a chance as manager if it happened.
Above all else, I don't want United to ever offer the job to a 'typical' manager with a big name that has made the rounds across Europe.