[5NL] AQo on button. TPTK on mono flop, 3 way. River decision and line check.

SB - 16/12/4 through 394 hands. Fold to cbet 20%, 1/5.

MP - 23/17/4 through 538 hands. Fold to 3bet 78%, 14/18. 86% cbet, 24/28. Not many notes on villain, so prob a 5NL reg. Had seen him raise to 6xbb in MP, after UTG limped, with JJ.

Only notes I had on SB was that he generally auto c/f his blinds if he has nothing, so we can assume he has some sort of hand.

PokerStars - $0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): $6.87
SB: $5.00
BB: $5.07
UTG: $6.47
MP: $10.07
CO: $5.45

SB posts SB $0.02, BB posts BB $0.05

Pre Flop: (pot: $0.07) Hero has Q A

fold, MP raises to $0.24, fold, Hero calls $0.24, SB calls $0.22, fold

Flop: ($0.77, 3 players) Q 7 8
SB checks, MP bets $0.44, Hero calls $0.44, SB calls $0.44

Turn: ($2.09, 3 players) T
SB checks, MP checks, Hero bets $1.25, SB calls $1.25, fold

River: ($4.59, 2 players) 3
SB checks, Hero ???

SB generally didn't like folding to cbets. However, when he c/c on the turn, I don't know what he could have?

He could be c/c with Adx or Kdx, would he do this with 77-88, QQ? Seems too tight to have anything else? Are there any hands in villain's range that I could bet for value on the river or is it best to just check behind?