Petit As deviendra grand?

NL Texas Hold'em $0.05/$0.10
Party - 6 players
Converted with HandConverter.fr

Stacks:
UTG ($9.45)
CO - Hero ($10.00)
BTN ($28.00) - VPIP: 81, PFR: 21, 3B: 0, AF: 1.1, Hands: 103
SB ($7.52)
BB ($15.25) - VPIP: 52, PFR: 16, 3B: 6, AF: 1.3, Hands: 268

Preflop: ($0.15, 5 players) Hero is CO with A:h 6:s
1 fold, Hero raises $0.40, BTN calls $0.40, 1 fold, BB calls $0.30

Flop: 5:c 2:c 9:s ($1.25, 3 players)
BB checks, Hero checks, BTN checks

Turn: A:d ($1.25, 3 players)
BB checks, Hero bets $0.78, BTN calls $0.78, BB calls $0.78

River: Q:c ($3.59, 3 players)
BB checks, Hero ???