My thoughts:

Since there are more ways of being behind drawing for a little less than a 2outer on average than their are ways of being ahead of AK making him draw to about a 4+ outer, i guess checkcalling aint bad here opposed to crsing the flop.(your checkcall inclined me to think your read was he reraised you with AA-TT and AK?).

Checkcalling the turn seems about right since even AK and TT will often throw a last bet in here with such a coordinated flop. No need to lead out and folding to a raise and putting you in a spot where you can make very costly decisions

If the hands you read him on are correct, you can't beat him on the river anymore and you should check-fold. All power to you if you were able to however holding TPTK [img]/images/graemlins/smile.gif[/img]