I'd cbet bigger and call river assuming villain is capable of firing three with air. I can't see why calling is never an option unless you think villain is never trip barreling 89s/86s/A3s/A4s. Therefore if you can never call AA, you're assuming villain hasn't enough bluffs so you're trying to bluff shove into a range of sets/2P which means your fold equity is reduced massively making it a likely -EV play. Your shove is contradictory to your assumptions for not calling unless you have some reads that villain can make sick hero folds but I doubt you actually have pure data on this.

In terms of hand choice, you're better shoving TT/QQ/hearts which don't block bluffing range, possibly 5x/7x are better shoves but they also have good reason to call.

The smaller u cbet the more he raises on flop, so his raising range is pretty wide against the size imo. When facing an agressive opponent, and he might barrel these overcards after flop raise with wide range, u wont really know how strong ur hand is. He might show up with k3hh for ex., and he might show up with sets, or might just spazz with atc against ur sizing. U should bluff catch wider when u cbet such small sizing imo

Calling is an option if you thinks villians combo of bluffs outweighs villians combos of values.

Also when villian bets aroind pot on river i expect his range to be polarised as AJL97 has said we will get snapped by sets too often which are a large part of his value range i like a call in hindsight