I can't see any reason to bloat pot with underpocket . You are OOP and don't have any good cards to continue agression on turn. There is also no point in protection as he has many stronger hands and floats which will easily bluff you later.

Pokersnowie would either bet full pot - I disagree as I believe that about 1/2 pot denies enough equity for human villains hand and that human villain will fold all hands that does not have hit or is a good draw on my line or check

Pokersnowie just plays range vs range and uses appropriate sizing to his range. If you force Snowie to play 99 by x/r flop it will incorporate additional combinations into his polarized strategy. It wont create different sizing just for one hand.

Also remember you are talking about exploative approach and snowie is playing solely GTO.

I'd just call flop but I don't think raising is horrible. Against small cbets it's good to xr wider to deny equity to overcards (which is a big part of UTG's range if he's betting his whole range) but I think this hand just goes better into a x/c range. Hands like 66,55,22 would be better because they can turn more equity with OESDs and gutshots and need more protection against overcards.

I don't like the turn bet. UTG has all TT+ and more Jx than you. (offsuit broadways)
Check/calling would be great because the turn gives him more draws that he could bluff and might prevent him valuebetting QQ+ twice for value.

I would either check/call flop or check/raise and then check turn. You already got protection on the flop, so there's no need to bet turn.

If you get called on turn you are likely behind and you cannot value bet river. If you check river and he bets you'll have a much more difficult decision on the river in a much bigger pot.

Denying equity on turn is much less important than denying equity on the flop, because there is only one card to come. Additionally, you induce him to bluff.

You can put some Jacks in your checking range on the turn, so you're protected.

If you don't like being OOP against an UTG open range with a marginal holding and without initiative consider 3betting pre. A lot of people play pure 3bet or fold strategy vs a single raiser in the SB and I think it makes the most sense at small stakes because 1 - the rake is very high and taking it down pre avoids paying rake and 2 - people are particularly bad at reacting to 3bets correctly at small stakes.

But ok that's more of a fundamental strategy decision than a comment on the actual hand.

As played I agree with what others have said. Protection is obviously the only argument I can see for raising but the EV you gain by denying them the equity that they would fold isn't enough to justify a raise imo. It just seems like you're wading into that murky territory between value betting and bluffing and that is rarely a good idea. And that is even more the case OTT. You gotta be polar.