Change pre flop standards against short stacks?

I usually dump QQ to this bet pattern without a read unless I have implied odds for a set since it's behind the typical range at 50nl IMO. But, when it's a short stack (<50bb), I just put them all in. The last 3-4 times, they've had AA/KK. I don't have enough experience with this though. Would you say short stacks generally have a wider 3-bet range pre flop to make hands like this +EV?

When I have a read, I'm usually good, but have lost a decent amount without one in spots like this so far. So what exactly is your range to push in this sort of spot?

Party Poker No-Limit Hold'em, $ Hero (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP2 ($29)
MP3 ($17)
CO ($51.50)
Button ($48.25)
SB ($101.04)
Hero ($49.25)
UTG ($76.05)
UTG+1 ($11.07)
MP1 ($27.50)

Preflop: Hero is BB with Q, Q. SB posts a blind of $0.25.
conversion didn't really work. Anyway, it went...all folds to MP3 who raised to $2, folds to me in the BB. I reraised to $6, MP3 goes to $10 and I put them all in...

Flop: ($34)...

at 50nl there are a lot of short stacks at 25 nl are like 8/3 so i think their range to call is AA KK AK of course it does matter on the particular short stack

With a hand as strong as QQ against a guy with a third of a full stack, I'm not even thinking about dropping it.

Now once you get min 4-betted against, I agree it looks like a monster, but he only has to NOT have AA/KK a small amount of the time for a push to be +EV. If the guy has a super tight opening range, we shouldn't reraise preflop.

I gladly push QQ with guys like this, I'll even go as far down as JJ sometimes 10s. Usually you're up against A10 or better I find. Sometimes smaller pocket pairs. Anyway, the point is it's very worth it.