So my title says it all (I assume preflop is good ). I don't really know what my thought process was, though I thought the king might be good on turn, maybe I should have c/c or bet and raised but b/c seems like the weakest possible option. And then on the river, I felt good about betting, until sb checkraised me, he was 39/10/1.15 or so through 70 hands and has been known to slowplay and checkraise, and I am thinking I should have just called, with the paired board and all.

Party Poker 0.50/1 Hold'em (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Preflop: Hero is MP1 with K, A.
2 folds, Hero raises, MP2 calls, CO calls, 1 fold, SB calls, 1 fold.

Flop: (9 SB) 8, 7, 7 (4 players)
SB checks, Hero bets, MP2 raises, CO folds, SB calls, Hero calls.

Turn: (7.50 BB) K (3 players)
SB checks, Hero bets, MP2 raises, SB calls, Hero calls.

River: (13.50 BB) 4 (3 players)
SB checks, Hero bets, MP2 folds, SB raises, Hero 3-bets, SB caps, Hero calls.

Final Pot: 21.50 BB

I think the river is close, actually, given his stats. I probably just call the C/R, though, because 88, 87s, or even 74s are not impossible for someone this loose (7 combos), but I don't think a 3-bet is completely out of line. Given the action, KK and 44 are very unlikely, and an aggressive opponent will usually C/R with the straight flush draw on the flop, given your position as preflop raiser. I think you see a worse flush or a straight fairly often here. I'm not sure that it's often enough to 3-bet, but I do think it's close.

This is kind of an odd hand to me. I think you played it fine up until the river. Check-Calling the turn would have been way to weak for your very strong hand and Bet-raising would have gone overboard since at that street MP2 could easily have trips.

I think you have to lead out the river. I would throw up if MP2 had trips and we attempted a check raise and the flush card scared him enough to let it check through. When he folds to our 1 bet we can be pretty sure that he had little more than a pair of 8's or something. The real question, of course, is what the heck do we do when the SB check raises us. Having the SB check call two cold on two streets leads me to think he has either a flush draw or he flopped a house.

If we go with our read and conclude that he is capable of slow playing the flopped house, I think we should just call the river check raise and shrug if he turns over the queen high flush or something. But I think the rest of the hand is fine.

I think it's a worse flush often enough to 3-bet river.

Why am I tempted to c/r turn?

Agree with the first one, I don't think our hand is strong enough to c/r on the turn. It's strong, but I don't want the hand checked through, nor do I want this turn 3-bet.

I think it's an easy 3-bet on the river. If he slowplayed a boat this far, good for him. We coulda lost a lot more.

Getting 3-bet on the turn isn't bad because of our huge draw. If the turn gets checked through we get a free shot at our flush (although we do miss bets on our K). Our hand is easily strong enough to c/r the turn, IMO