So your question isn't do you stack off here. Your question is, "What is villain potting flop with?" and "What board runouts would help my hand?"
Your answer depends on several things:
1.) What does V perceive your 4b range is? Does he perceives it's all AAxx, or does he think you're capable of 4betting rundowns, esp in this range?
2.) What is V's 4b
calling range preflop?
3.) Are you happy with ANY board runouts? Even the A
could be a bad card for you.
4.) Is V thinking about these things?
Depending on your answer to these questions, you could find a fold or a shove.