The worst played set ever?

[Wired Jokers]

I am posting the results in this hand because quite frankly, I think I played it correctly. My opponent played it poorly. But it got me to thinking about a situation we may be in from time to time, and what is the best line to take.

Live $6/12 at Harrah's, NO. This is one of 4 hands I played in 2 hours. I've only been at table 15 minutes, but can tell the whole table sucks, and is incredibly passive. Only one guy is any good, and he is not in this hand. Villian is a Little Old Lady who must have a VP$IP of 75%, and will bet the flop if checked to 100% of time. She is very passive on the later streets.

Hero dealt A [img]/images/graemlins/club.gif[/img]Q [img]/images/graemlins/heart.gif[/img] in BB. 10 handed.

UTG folds, UTG+1 calls, MP1 calls, Little Old Lady (LOL) calls, SB calls, Hero raises, all call.

Flop (10 SB) 7 [img]/images/graemlins/diamond.gif[/img]4 [img]/images/graemlins/spade.gif[/img]9 [img]/images/graemlins/club.gif[/img]

Hero checks, UTG checks, MP1 checks, LOL bets, SB folds, Hero calls, UTG folds, MP1 calls.

Turn (6.5 BB) A [img]/images/graemlins/heart.gif[/img]

Hero checks, MP1 checks, LOL bets, Hero raises, MP1 folds, LOL calls

River (10.5 BB) Q [img]/images/graemlins/spade.gif[/img]

Hero bets, LOL calls. LOL turns up 4 [img]/images/graemlins/club.gif[/img]4 [img]/images/graemlins/diamond.gif[/img] and MHING.

Terrible. But in the time spent later folding hand after hand, I'm wondering what the best line for LOL would have been. Lets put ourselves - as decent players - in LOL position and assume that in her position, we note that BB (me) is a competent player and pretty ABC to this point. I won't discuss pre-flop and flop since they were played correctly from LOL's standpoint.

On the turn, holding a set of 4's, you are checkraised from the big blind after an Ace hits. It is obvious to you that BB has hit his overcard (given his pre-flop and flop actions) and since he is competent, you can probably put him on AK, AQ or AJs. AA is unlikely due to the flop call. How do you maximize the return on your set?

Option #1: Three-bet? Well, a three-bet is probably going to cause good player in BB to simply call, and check/call the river, provided he does not improve. Net result for you: 2 BB

Option #2: Call the check-raise, and pop the BB on the river. Most likely, the BB will call the raise and your net result will be 2 BB. But, in this situation, you have the potentail for BB to 3 bet, esp. if the river card improved him (as it did in this situation).

I don't know. I hate leaving bets on the table on the turn; however, against a thinking opponent, a river raise may be more appropriate. Help me throught this problem.