NL50, TP2K with paired board vs unknown

Villain played about 5 hands yet so no reads.

10 players, 2 limpers before me, i bet $3 with AQo from CO. Villain called from button, 1 of the limpers called too.

Flop: A44 rainbow, pot $10.25. Limper checked, I bet $8, villain minraised to $16, limper folded.

It's $8 for me to call into $34.25 pot and villain has about $30 behind. I can't see many hands I'm ahead of (AT, AJ maybe) and if I simply call, I think his whole stack will get in.

So, what's my plan?

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