Put more monies in preflop (10c-14c is a good raise size). Otherwise, I like how you played this. Might raise the flop a little larger as well.
And yeah, who cares what hand he has. When he takes this betting pattern, QQ is pretty much the nuts. I'd say his range is something like 7x, any pair below T's, heart draws, gut shots, and overcards & ace highs that believe "well, I just don't think he has a ten and he's just bluffing
, so I'm going to call hope I hit something on the turn". Just cram it in, and be surprised at how much of his junk he'll actually call with.