PokerStars No-Limit Hold'em, $0.05 BB (8 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP1 ($11.88)
Hero ($15.44)
CO ($5.61)
Button ($8.90)
SB ($8.26)
BB ($9.72)
UTG ($10.36)
UTG+1 ($4.78)

Preflop: Hero is MP2 with 8, 8.
1 fold, UTG+1 calls $0.05, 1 fold, Hero calls $0.05, 3 folds, BB checks.

Flop: ($0.17) 8, 3, A (3 players)
BB bets $0.15, UTG+1 folds, Hero raises to $0.5, BB calls $0.35.

Turn: ($1.17) 2 (2 players)
BB bets $0.5, Hero raises to $3, BB raises to $9.17, Hero ???

No read on villain. On the flop, I put him on weak/medium A (dry board + action on flop + overall willingness to go too far with weak A at this stake). So his turn bet/4-bet all-in surprised + confused me. I am getting great odds, like 2.2 : 1. As played, call?

Also, is it a mistake to try to play sets for stacks in ~200bb deep limped pots?