I think you should have a general PLan in these types of spots. Basically, when you 3-bet QQ VS an EP raiser, you should already have an outline of how you would proceed with your given hand range in this spot(QQ for this hand)

EX: 1) 5-Jam VS EP's 4-bet

2)Call VS EP's tight 4-betting range, and fold on AXX,KXX

3) Call EP's raise for deception, and C/R on low flops, etc....

Essentially, 36 hand sample doesnt say much about Villain.

if you call the 4-bet  1) Remaining stack: $19   2) Pot size: $12

19/12=1.58:1 SPR, 

I dont mind flatting, and Jamming(stop-n-go play) on Low flops with QQ which is top of your range, and i Dont mind 5-bet Jamming, since your OOP VS opponent.

What's his raise first in % on that position ? When you 3bet QQ on that spot, it's not to fold when villain 4bets, unless you are 3betting QQ as a bluff, so you have to jam it. If villain opening range from EP is tight (which is standard), I think the best play is to flat preflop, and play postflop, we can keep his entire opening range. By 3betting you are keeping only top of his range.

I don't like flatting 4bets OOP. You would have to fold on Axx/Kxx, and play for 2 outs most of the time on rags flops.

Nothing to add.