Set on river, tricky board

[SNGNOOB]

Call/Fold river?

No-Limit Hold'em, $0.10 BB (8 handed) from (Format: FlopTurnRiver)

MP1 ($9.25)
MP2 ($9.40)
CO ($8.15)
Button ($17.35)
SB ($5.80)
BB ($5.50)
Hero ($9.25)
UTG+1 ($18.90)

Preflop: Hero is UTG with 8, 8.
Hero calls $0.10, 5 folds, SB completes, BB checks.

Flop: ($0.30) 5, 7, A (3 players)
SB checks, BB bets $0.3, Hero raises to $0.9, SB folds, BB calls $0.60.

Turn: ($2.10) 6 (2 players)
BB checks, Hero checks.

River: ($2.10) 8 (2 players)
BB bets $1.5, Hero calls $1.50.

Final Pot: $5.10

[Runner_Runner]

Concerning your play on the flop, a read would be nice. Does the BB like to take a stab at every pot he's involved in when he can bet first, or is he more passive? Since the flop was three way, I'm inclined to think the BB's likely holding is Ax and not just taking a shot. As such, I don't know that I like you raise much...again, reads would be helpful. Generally I have reservations about making such plays when there's an A on board, even if it is the blinds.

As played, I too would call here. BB could have a huge number of hands - sure, he could have the straight or flush, but again, I put him on Ax and he felt he was good since you checked the turn. >2-1 to call the river is good enough here IMO.

[SNGNOOB]