Hero (SB) ($41500)
BB ($11030)
UTG ($13380)
UTG+1 ($12625)
UTG+2 ($8670)
UTG+3 ($4530)
Hijack ($15075)
Cutoff ($8255)
Button ($11175)

Ante: $30

Preflop: Hero is SB with 7, 7
UTG calls $300, 1 fold, UTG+2 calls $300, 4 folds, Hero calls $150, BB checks

Flop: ($1470) 5, A, 3 (4 players)
Hero checks, BB checks, UTG bets $570, 1 fold, Hero calls $570, 1 fold

Turn: ($2610) Q (2 players)
Hero checks, UTG bets $1050, Hero folds

Completing is better than raising pre. There'll be so many boards with at least two overs, that it will make your hand too awkward to profitably play in a bloated pot out of position. Calling and seeing a cheap flop multi-way is best with these deeper stacks.

Post flop is reasonable. UTG could be betting with a non-Ace hand that you're ahead of, so calling and folding to further action is acceptable.

But there's nothing wrong with folding to the flop bet, since they bet into 3 people and have plenty of Ax in their limping range. Plus the turn will be bring about overcards more often than unders/a set, so just folding the flop and saving some chips is a fine way to play it as well.

Limping along is better in the SB than raising IMO because you'll have very little fold equity unless you put in a massive raise and you don't want to be OOP in a huge pot with 77.

Just fold the flop, there's only two good turns in the deck and you're OOP.