QQ on A high flop, pot control, get c/red on river

Hey guys, a hand here from tonight:

$0.02/$0.05 No Limit Holdem
6 Players

Stacks:
UTG ($3.97)
UTG+1 ($7.34)
CO ($5.14)
Hero ($5)
SB ($5.73)
BB ($5)

Pre-Flop: ($0.07, 6 players) Hero is BTN
UTG raises to $0.17, 1 fold, CO raises to $0.45, Hero calls $0.45, 2 folds, UTG calls $0.28

Flop: ($1.42, 3 players)
UTG checks, CO checks, Hero bets $1.10, UTG folds, CO calls $1.10

Turn: ($3.62, 2 players)
CO checks, Hero checks

River: ($3.62, 2 players)
CO checks, Hero bets $1.20, CO goes all-in $3.59, $2.25 to Hero ($2.25)?

Villain is unfortunately unknown, this was like the second or third orbit of the session so I had no meaningful stats on anybody yet. He 3bets pre I put him on something like TT+, AK, AQ, KQ. Maybe a little tighter than that if he's aware and 3betting less since original raiser was UTG, 4betting is clearly no good here without reads, folding is still bad even if it's worst case scenario and I'm setmining here with QQ so I flat.

Decision to bet the flop was pretty autopilot at the time, in retrospect I'm not so sure it may have been the right one since we had a 3bet and a flatter, likely that at least one of them has an ace so odds of taking the pot down here with a bet are not great... at the same time though CO checking when we would otherwise expect to see a cbet from him looks like weakness. At any rate, I decide to bet the flop, if this is horribly wrong I'd be glad if somebody could explain why. If it's any help at all for later in the hand, CO tanked for a while before deciding to call the flop, I expect he's continuing here with {TT+, AK AQ} and probably not a whole lot of air given I don't have reads he floats and he would probably be looking to make a play on the flop if at all since he's OOP.

Turn is a relative blank, check back here for pot control since I obviously don't want to play for stacks with QQ in this spot readless. Villain checking the turn makes me want to discount him having an ace or AA and weight his range more toward PPs looking to get to showdown, we go to the river.

The river decision... him checking the turn and then checking it to me again here makes me think he his range is more TT-KK type hands than top pairs or AA... betting the river here may also be a mistake, it's thin at best... we have to severely discount AK/AQ and AA before this becomes a bet (giving him TT-AA and 4 combos of AK gives us 50%). Anyway I went for thin value on this river, got raised... pot odds we only need 32% to make this a call but I have a hard time putting him on anything we beat and even though his line looks kinda bluffy it feels like spew here to try to convince myself this is a bluff anything approaching the frequency we need it to be to call here.

Bottom line is I felt like there were a few marginal spots in this hand that I wasn't too sure about, if you guys could shine some light on what I ought to be thinking about here that would be great.