Villain is unknown, but has about $180 and seems to be checkraising monsters. He's been fairly active, has been caught bluffing a few times and also likes to do tricky things such as limping AA, or flat calling raises with big pp's. In short, he seems to be playing hands in reverse.
I cover, my image is ok, although I haven't shown down too many hands and have been folding to a couple of turn and river bets the past half hour.

I get AA in LP and open-raise. BB is only caller.
Flop: [Jc][6d]. (I have Ad.) Villain leads for the pot, I call.
Turn: . Villain pots again, I call.
River: . Villain bets $25 into the $60-something pot, I call.

Normally I'd raise at some point, but we were almost 200bb deep and this didn't seem like the kind of board to play a huge pot, correct? Or should I raise the turn and fold to a shove?

I don't really see a better way to play it.

I use this exact line alot. I still havent figured out if its correct or not.