My read without any other info is AQ or a busted flush (AcKc likely unless you hold Kc already).

Of course you have to be afraid of QQ or AA, but I think AA would get you all in preflop after your second raise, and QQ would raise at least half his remaining stack after the flop, if not a shove for fear of the flush draw. No way you could put him on two pair with the preflop action and that board.