Facing weird bet sizes then river shove with KK

BB is: 32/12/3 - 75 hands seems like a fish.

Anybody raising this flop? Turn?

I thought her donking range giving bet-sizing was fairly weak a few straight draws and possibly top pair or a nine or some other random pp's.

I called turn because I though it was a good card for her range, some top pair hands made two-pair and KJ got there.

On the river I think I am always beat the only thing I can think of that I beat is JQ which turned top pair. Unless villain randomly decided to turn a T, 9 or 78 into a bluff.

Without any clear cut idea of her donking range and no evidence of her having a tendency to bluff 3 streets OOP is a fold good here?

I would imagine she would try and get two-pair/sets in on the flop some of the time, I'm stumped on the river.

PokerStars No-Limit Hold'em, $0.05 BB (6 handed) - PokerStars Converter Tool from http://flopturnriver.com/

Hero (Button) ($5.14)
SB ($13.18)
BB ($8.96)
UTG ($3.02)
MP ($4.66)
CO ($11.39)

Preflop: Hero is Button with Khttp://www.flopturnriver.com/pokerfo...lies/spade.gif, Khttp://www.flopturnriver.com/pokerfo...es/diamond.gif
2 folds, CO raises to $0.15, Hero raises to $0.45, 1 fold, BB calls $0.40, 1 fold

Flop: ($1.07) 10http://www.flopturnriver.com/pokerfo...lies/heart.gif, 9http://www.flopturnriver.com/pokerfo...es/diamond.gif, 2http://www.flopturnriver.com/pokerfo...ilies/club.gif (2 players)
BB bets $0.35, Hero raises to $1.10, BB calls $0.75

Turn: ($3.27) Qhttp://www.flopturnriver.com/pokerfo...ilies/club.gif (2 players)
BB bets $0.85, Hero calls $0.85

River: ($4.97) 4http://www.flopturnriver.com/pokerfo...lies/heart.gif (2 players)
BB bets $3.90, Hero ???

It's a wierd line, and wierd lines are normally for value. I fold the river.

Ima call. I think villain can has Qx alot and bluffs jx like

When fishy players wake up and raise you on the turn or river, or take away the lead in betting on the turn or river, or start betting big on the turn or river, one pair is often beat. It's different on the flop when they will sometimes rage-shove any pair, but not on the turn or river.

Here though I think the bet-small-when-the-Q-comes and then bet-big-on-river could be AQ. I don't think this is QJ. I think they'd bet smaller with that. So here I'd say it's most likely KJ or AQ. Taking that range as representative you are good 12/20 or 60% of the time. So if AQ is in their range then it's a call.

3b pot vs a cold callers range, I don't see how we can fold here.

I'd be more worried about this type of aboard in a single raised pot. Especially given he didn't b/3b flop and we flatted his weak ass bet on the turn, we don't seem overly strong now.