AA 3way AI OTR

I think your play is ok, I would have only called OTT actually. Just let him bet again OTR. If he is a thinking player he might fold to that shove even with top pair...looks pretty strong. Keep his range wide.

Kinda hard to judge this hand without info's about villain.
I have issues as well when i hold AA, most of the time postflop i cant fold my hand.
I think the right play if Villain was a good player was to just call his Turn bet and check/fold river.

but it seemed that we would end up playing for stacks OTR anyway so I felt that going AI right away might be better.

Even though you are going all-in anyway, there is a difference if you just call or shove. If you think for a long time and call, he might ship with all of his bluffs and some stupid hands also. If you raise shove here he will fold all of his bluffs and then probably re-consider with some decent but not that good hands.

The reason for not beeing so aggressive is themw pot.

Against regulars I can find a fold OTT, because BB range looks really value heavy at least TP+FD. But also depends on raise sizing OTF, don't think the regulars are able to minraise here.
As played shove OTT is quite reasonable, because he will call us with all FD which he might check back OTR and also Kx hands. Maybe he will afraid if would complete the flush OTR.