Yes, you should take those spots. His range is probably very tight, you're right, but a lot of $11 villains are doing this with QQ as well.

Don't think of it as a 47/53 spot. There is 2700 in the pot before you make your shove. That has a massive impact on the equity you need in order to make this shove, so you don't need to be ahead of the villain's range in order to get it in.

I ran this hand through SliceEV's fold equity calculator and if his range is QQ+ and AK and he always calls it off, you make 2122.73 chips getting it in here. That's 40 big blinds. If his range is KK+ and AK, you make 1047.54 chips – 20 big blinds. If he ever does this with AK and then folds to your shove, which some villains will do, then that number only goes up, and if there's a slight chance that the overcaller decides to gamble it up with JJ or AK or something (which again, some $11 villains will do) then the number shoots up even more. Only once his range becomes exactly KK+ does it become -EV to get it in.

Don't overthink it. You have KK and 80bb. You need an extremely good read to fold here. Calling the 4bet doesn't make a huge amount of sense unless you thought his range was wider and were trying to trap, because if you're calling the 4bet for the reason that his range was too strong to get it in, then you're just going to end up stacking up on 90+% of flops anyway, because if he does have AA very often then there's rarely going to be an A high flop or any other flop that you can fold with stack sizes being as they are, and if you're folding a bunch of flops then you're basically just setmining with KK in a spot with terrible stack to pot ratios.

It's not a fistpump shove because his range definitely is tight, but you can't do anything but shove here. It's just a cooler.