MTT (40-ish players) with about 16 players left. We'll have to ignore payout because a) I dont remember what it was and b) I probably am never considering it when making my decisions.

Anyhow, short stack to my right shoves for 10k UTG (I think its about 4BB). I have 100,000 behind and i'm the chip leader. I have A K suited. I decide to raise it to 35k to try isolate the guy whos all in. However, I think this raise was a little too much (25k probably achieves the same against a lot of hands, there were very few players with 40k or more).

The guy to my left has ~65k and is 2nd in chips on our table. He shoves. Everyone else folds.

Now, I'll admit I had a bit of a moment where I went "oh fuck" but then mistakenly went "I don't want to slowroll this guy and I'm never folding here". So I just snapped it off.

I'm trying to work out if I'm getting the right price or not. First of all, it's 30k more to win 140k. So I need to be good 1 in 4.5ish attempts. I am seen as a pretty loose agressive player, and so my opponents range might be slightly wider than usual. However, I think there's maybe 4 hands he can do this with. A K, AA, KK or QQ. If I'm trying to make it look like a good call by me I could perhaps include JJ in there. I'm flipping vs QQ, splitting with AK unless i hit a flush, but I'm a dog vs KK and AA.

Can anyone help? Should I have folded to their shove? What would a good raise size be?