OK seriously, what besides AA could he have?

[SossMan]

If you are hell bent on putting him on such a tight range, then why in the world do you push? Let's say you put him on QQ-AA. Why wouldn't you call and use position to extract the most out of QQ, or save chips when an ace flops.

If I put him on a very tight range like that and I (for whatever reason) think that he's capable of laying down QQ preflop if I push, then I call here every time. Letting others in the hand is only better since it increase the chance that you get a set paid off. You should get at least one of the callers here to call the 400, so now you should have your set odds.
I think that this is a pretty straightforward call for you preflop.