$10 NLHE 6-max: AA vs 2 pair river shove

Poker Stars - $0.05/$0.10 No Limit Holdem (6 players)

SB: $12.14
BB: $10
UTG: $11.08
MP: $9.76
CO: $4
BTN Hero: $13.64

Pre-flop: ($0.15) Hero is BTN and dealt
UTG raises to $0.40, 2 folds, Hero raises to $1, SB calls $0.95, BB folds, UTG calls $0.60

Flop: ($3.10) (3 players)
SB checks, UTG checks, Hero bets $1.50, SB folds, UTG raises to $3.30, Hero calls $1.80

Turn: ($9.70) (2 players)
UTG checks, Hero checks

River: ($9.70) (2 players)
UTG bets $6.78 (All-in), Hero ??

35/24 over 35 hands.His RR on the flop smells of big PP or set. His call PF tho makes me think no KK-QQ, and I am thinking he will call with JJ-TT on the flop. I considered folding on the flop, and also considered stopping the HH there, but want feedback on my flop call (bad?- fold>shove here?) and is folding or calling the correct move on this river?

I'm putting him on a busted flush draw and calling this one. Sometimes he'll have the 9 or 44 but the way he played it smells like a flush draw to me. A2h would be dirty.

Raise bigger pre, but I don't know about flop. An almost min-raise is pretty suspicious and I don't think a player playing 35/24 raises flush draws or a flop just because its dry. Whats his AF or any reads saying he's agg?
I would probably call flop as im in position and then check back turn and fold river.

Im no cash guru, but given his open and flat and flop reraise, arent sets unlikely part of his range? at a guess id make it look more like, KK-TT, 99 , 88, 77, 44 and overs with flush draws like J10s QJs KQs AQ AJs A10s KJs and happily get it in.

i cant see why we would call flop with intention of folding river jbbb? when he has around a 2/3 pot sized bet left

River is a snap-call, not close. The stack to pot ratio commits you on that flop, and the only reason to check the turn is to induce this sort of bet on the river.

And yeah, 3-bet bigger pre.