QQ into ...

Villain is not playing with 100bb stack, I think we can assume he is recreational. Question is, can he 4bet other than KK+, like AQo,AJs etc.. or would he 4bet shove those weaker hands? I think this is a 5bet shove or fold pre, I don't like calling so much.

As played I would call flop. If villain can 4bet AK,AQ pre, I think this flop bet doesn't change his range. He has only around 2/3 pot bet left and you check so I think it is reasonable for him to shove his entire 4betting range.

Preflop you should decide if you are beating or losing to his 4bet range and then shove or fold.

As played I dont like folding on this flop. You didnt hit a set but the flop should have missed villains range too, so there is no reason to call pre for half his stack and then planning to fold on a flop like this one.

This is very clear stack off preflop. His stack indicates that he is a weaker player and weaker players on nl2 are just fish so he can show up with all sorts of random hands there. His sizing also is huge which makes it less likely he has AA/KK.
As played, snapcall flop for the same reasons. Even against the range you gave him of JJ+ you still have to call because of odds.

Hero has a decision preflop: call the 4-bet or fold. Given V is showing strength against 2 opponents I think a fold is fine.
Calling would be bad: V cannot fold to H's call.
Calling means that H has to put in 40% of his stack and has 53bb left of his effective stack. The pot will be 84bb. This means that on the flop H could be going or being put all-in.
So the question preflop is whether Hero wants to go all in with pocket queens on the flop if he doesn't hit the board. If so than Hero is better off going all in preflop. He gives Villain a chance to fold his hand.

Difficult spot. However, against a shortstack he can play many good hands aggressively. I think I might have shoved pre-flop.

Vs shortstack squeeze bigger and push pre.
As played-call.

You put yourself in an weird situation by calling preflop. You simply cannot fold there if you are serious about calling pre. What did you expect? You are both totally committed. You might fold on an AKx flop, but that just adds to the weirdness of the preflop call.

Fold or shove preflop.