Hand range for big stack bully shover

So I was playing the nooner freeroll on Bol and was doing pretty decent (about 24BB left after the second break) and was at the table with a few really short stacks and the top two stacks bout around 60BB. My problem was that anytime i was get a decent hand (AJs in on the button for example) I would raise their limp bets and at one of them would always re-raise all-in and I'd sit there trying to decide what to do which ended up resulting in me folding cause I didn't wanna get knocked out if they did have a good hand since they weren't doing it every single time but problem 2/3 times. So after like 60 hands at the table I got dealt JJ in LP, raised 4BB and the biggest of the two stacks limps/shoves and I call only to get AK which pairs and I bust out.

So the question is what range do y'all call big stack bully shoves with, was JJ to loose or was this just bad luck on my part and I played it fine?

there are no bullies.

There are people trying to hand you chips a lot at once and people trying to lose them as little as possible in one go.

It's not bullying, it's 'gated' mentality, they want one singular event to have huge impact. These are the type of people you will find will bet everything on one horse if they are into horse racing rather than bet on a few horses staggering amounts.