Villain is 37/9/7 over 35 hands, Flop C-Bet: 50% (1/2)

Decided to call flop with the 2 overcards, was this a bad spot to mix up play?

Any good rules of thumb when thinking about calling down a c-bet with 2 overs (e.g. Flop C-Bet>80%, other reads)?

Got a nice turn card, now what??

Didn't feel that my hand was strong enough to overshove, too good to fold, tried to get to river cheap but that was only semi-effective.

What are other better ways to play and think about this?

PokerStars No-Limit Hold'em, $0.02 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

BB ($2)
UTG ($0.71)
UTG+1 ($2.98)
MP1 ($5.12)
MP2 ($3.77)
MP3 ($0.95)
CO ($1.81)
Hero (Button) ($1.98)
SB ($7.08)

Preflop: Hero is Button with A, Q
UTG calls $0.02, UTG+1 bets $0.10, 4 folds, Hero calls $0.10, 3 folds

Flop: ($0.25) 3, 10, 7 (2 players)
UTG+1 bets $0.16, Hero calls $0.16

Turn: ($0.57) Q (2 players)
UTG+1 bets $0.52, Hero calls $0.52

River: ($1.61) 2 (2 players)
UTG+1 bets $0.70, Hero calls $0.70