I think a better question would be what can I beat?

AJ/AQ.
K7 to KT.
22 to 55 / 77 to TT.

Do you reall see the villain min-raising and then re-re-raising PF with any of those hands? It seems unlikely. AK is the only hand I could really see him having that doesn't beat me outright but I didn't really feel like building a big pot just to split it.

To paraphrase Phil Gordon...
"If you put a gun to my head and told me to guess his hand..." I'd have to say KK.