Villian is weak.

Party Poker No-Limit Hold'em, $ BB (9 handed) from (Format: FlopTurnRiver)

saw flop|saw showdown

MP1 ($31.36)
MP2 ($17.65)
MP3 ($27.30)
CO ($8.80)
Button ($6.63)
SB ($22.85)
BB ($31.60)
Hero ($57.05)
UTG+1 ($24.75)

Preflop: Hero is UTG with 3, 3. SB posts a blind of $0.10.
Hero calls $0.25, 7 folds, BB checks.

Flop: ($0.60) A, 5, 5 (2 players)
BB checks, Hero checks.

Turn: ($0.60) 3 (2 players)
BB checks, Hero bets $0.5, BB calls $0.50.

River: ($1.60) 2 (2 players)
BB bets $2, Hero raises to $10, BB calls $8.

Final Pot: $21.60

I didn't want to lose my fish, so I decided to raise an amount I thought he would call. Given the pot-plus size bet on the river, did I lose value by not pushing here?

on the river, I think the raise is fine pots not big enough to just shove. Now granted you didn't know what's coming but I still say bet the flop, it probably missed him and I want to take it down now, not give him free cards to beat me. And if he slowplays his 5 or A, bam just turn an A like you did, then you get his stack.

I agree with them, and the river bet is good, possibly he caught his 2 for the straight and called you down