I'm playing this incredibly weak/passive table on UB ($100 max 10 handed).

UTG, who I have no read on, limps and the two players between us fold. I make it $4 to go in early/middle position. The table folds back around to the limper, who calls.

Pot: $9.50
Flop: Q[s] 4[c] 10[h]

UTG checks and I bet $6 (which is a pretty standard amount for me with this size of a pot on the flop). UTG check-raises the minimum. The board isn't very coordinated--the only drawing hand I could reasonably expect here is K-J. Even then, I don't think check-raising the min is a very likely play from someone on a draw anyways.

This leaves me with two types of possible holdings in my opinion. A set/two pair, like 4-4 or 10-10 (Q-Q isn't out of the question, but significantly less likely I think you'll agree) or my opponent has hit the board (likely the Q) and believes he has the best hand. I don't want to go crazy as this guy has close to a buy in (started the hand with $86 in front of him) but at the same time I don't really like letting my hand go here. I have position on him so I call and see what he does on the turn (this option also makes it likely that I can see the end of the hand without doubling my opponent up if I am beaten and decide to go to showdown). Would you make a big re-raise here?

Turn: Q[s] 4[c] 10[h] 5[h]
Pot: $33.50

UTG bets $18 into me. This is just over half the pot. If I was behind on the flop I'm still pretty far behind here. If I'm still ahead I still have a pretty good edge, so I decide to call again.

River: Q[s] 4[c] 10[h] 5[h] K[d]
Pot: $69.50

My opponent checks to me. I'm 100% sure that I have the best hand here. He has $45 and some change left. I want more money in this pot and I'm willing to call any bet or raise he makes on this board. The thing is, if I just move in here this is a very scary board for something like 1 pair who may not call very much at all. How would you all suggest I bet to extract maximum value from this hand?

I think $30 encourages a push and will likely get called if he doesn't.

I would probably bet about half his stack, about $20-$25... More than that, and I don't think he's calling w/ 2 pair... I really don't think he has much of anything after checking the river to you... I think his most likely holding is AQ...

I think hes folding to anything more than about $20. He doesnt have much.

I dont agree here the pot is $70, he is pretty committed to this pot and he has shown stregnth on every street. If he is going to call $20 be his goning to call all-in. If he missed his draw you arent going to get a caller either way. I dont see why the king is such a bad scare card, is he scared that you called him all the way down with AQ and hit your gutshot on the river. My guess here is he is most likely play AQ, but he is still going to call a bet, with the pot as big as it is bet a min of $30, I probably push all in so I dont have to show my hand.

Rhound... agree that he has shown aggression, until the river, when the K hit, which would tell me he's probably playing Qsomething, probably AQ... I think if you push, he's definitely gonna fold anything under a set, which I don't think he has cause he checked the river... If he has AQ, I think he'll call a decent-sized value bet, but not a push... Hell, if I had AQ on that board, w/ $70 in the pot, I would probably call a $20 bet, reluctantly, but I probably would, but if someone pushed, I'd be almost positive they had a K, and I would fold...

Here's my guess.

He has AQ. He thinks you might have AK which is why he check-raised the flop, trying to get you to lay it down. His half-pot bet on the turn doesn't show strength -- after a check-raise on the flop, it shows tentativeness to me. On the river, he checks because best-case scenario you had AK and now you're ahead. He won't call much at all on the river.

if you're very, very lucky he has KQ and will check-raise you all-in on the river.

I push all in because it makes it seem like you are trying to push him out after he showed strength and you just called him on the flop and turn.