On the AA hand I want JJ/QQ/TPTK/2P to stick around on the flop. Potting it might make them push, might make them fold. I might try to c/r flop or turn AI, perhaps check-calling non-boat river if both other streets check through.

Edit: I probaby lead river for 2/3 pot if both other streets check through, he's calling with a JJJ/QQQ.

I'm ok with giving a free card to say TT/99 with a heart here.