Kinda basic question but a spot I struggle with.

$2-$100 spread-limit.

Hero has a stack of $1300 and has a good image. Villain just sat down—guy in his 50s, bought in for $300 (in $100 bills). Vaguely gives me the vibe of being a good player.

HAND:

Folds to Hero in the CO who raises to $8 with Qs5s. Only the BB calls.

Flop: Ts8c5h (Pot: $17)

BB checks, Hero bets $7, BB calls.

This is all pretty standard and doesn’t warrant much discussion. My question comes on the Turn:

Turn: Ts8c5h 9d (Pot: $31)

BB checks.

I’m confused here. We turned more equity, which makes me think I SHOULD bet again, but then it’s a card that’s better for the BB’s range than it is for mine, which makes me think I should check and realize my equity/give up if I miss.

What do you say?

IMO I would have just folded pre. I play a loose style most of the time especially if the table calls for it, but Q5s is a fold.

AP on the fold I'd bet more than 7, maybe 10 or 12, just trying to take it down

AP on Turn I prob just x and give up on river if there is a bet by BB

You already know preflop is loose. I like Tommy Angelo's "waiting for straighters" as a limit for opening ranges in position.

Ok with flop bet but in part bc it'll keep control of the hand and allow you to get to river/ showdown more often.

Turn, you have bottom pair and a gutshot and as you mentioned, a perceived range disadvantage. Not sure what better hands fold + he might c/r 2pr and you'd have to fold a good draw.

PF is loose but whatever. Turn is a bad card for your range, but favors his. I check and see a river. You likely have outs if behind and a C/R is a real possibility.

With a blocker to the QJ nuts, I'm inclined to bet here.

Is V checking his 76s, combo draws and two-pair combos on this turn when the nuts can change so much otr? Unlikely. What Jx does V check? V also has some BDFDs that have bricked turn.

There are few non-5x rivers we want to see here (maybe just 4/3/2). I think we b/f turn.

UPDATE: BB checks, and Hero checks his Qs5s behind. He would have double-barreled a Jack (or an Ace or a King), but thinks the 9 is not a good card for it, even though he did pick up a gutter and blocks the nuts.

River: Ts8c5h 9d 5c (Pot: $31)

BB leads for $29. Hero?

Pot size bet? Seems polar. Probably call and see what he has. Vs some players I would raise to $68.

Knowing nothing about villain I would just call. Without a better idea what villain is doing hero has no idea if a raise can make money or not. Without a better read on villain you don't know how his range breaks down here and the range hero can make money from is small.
Villain's good one pairs should fold to a raise unless he was playing AA/KK stupidly. Two pairs may figure you for an over pair that drew out on the river. Villain could have a straight or boat that beats you. It is even remotely possible villain has a better 5X. The only hands you should automatically make money from are worse 5X but there are not many such hands because there is only one 5 left.

I check back. Q/5/J is 10 outs or 20% plus we're ahead right now some slight % of the time. If it bricks and he bets big I fold, maybe call a small bet if he's competent.

RESULT:
Hero raised to $79, BB folded.

Felt like I could get called by 56, 57, T9, and some random Top Pair hands that want to Take A Stand. My blocking QJ also played a role; I think I may have just called if I’d held K5.