Should i have value bet on the river? Villain is 51/3/2 over 100+ hands. On the river, he insta-checked

If i v-bet in this spot and he shoves is it still a call?

PokerStars No-Limit Hold'em, $0.02 BB (8 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

SB ($1.16)
BB ($2.51)
UTG ($3.16)
UTG+1 ($2.12)
Hero (MP1) ($1.86)
MP2 ($3.56)
CO ($4.95)
Button ($3.85)

Preflop: Hero is MP1 with A, Q
2 folds, Hero raises to $0.06, 4 folds, BB calls $0.04

Flop: ($0.13) Q, J, A (2 players)
BB checks, Hero bets $0.10, BB calls $0.10

Turn: ($0.33) 9 (2 players)
BB checks, Hero bets $0.22, BB calls $0.22

River: ($0.77) 4 (2 players)
BB checks, Hero checks

Total pot: $0.77 | Rake: $0

Results in white below:
BB had 2, K (high card, Ace).
Hero had A, Q (two pair, Aces and Queens).
Outcome: Hero won $0.77