Playing AAxx vs draw

I think we should be betting the flop and calling it off vs 1 jam. As played I'd probably fold.

I'll go first [Edit: Was posting from work hours ago but didn't have a chance to edit till now.] with a longish reply hoping for constructive criticism from the better posters 😀.

I don't play with a rock (hopefully nor like a rock) but do play with a $2 SB and $5 BB with some straddling to $10. Generally I'm at least $1000 to $1500 effective with most opponents once the game has been going a bit (max buy is $1000 with only one or two short stackers in the player pool). The action in my game sounds similar to the one you describe with lots of single raised pots multiway. Most opponents three bets before the flop almost always mean aces. I don't always three bet aces but do try to find three bets with strong hands in position (e.g. a minimum would be KQJ9 with at least one suit) to sort of balance things.

IMO you have medium strength aces with one nut suit and a bit of connectivity. Better aces might have double suits or a single nut suit with the other two cards broadways. The worst aces (with no suits or connectivity) I want to either set mine multiway or get heads up with an SPR less than one.

Before the flop I too sometimes will limp and back-raise half decent aces but here I'd prefer an initial raise hoping to get good position post flop or occasionally get someone to reraise which means I'll get it in (or mostly in) pre flop. With your back-raise in this spot you ended up with two opponents and an SPR or 2 to 1 which is sort of "meh" stuck in the middle. If you prefer a lower swing style (as I do) you could have just called pre flop or potted larger had two blinds or another opponent acting after the initial raiser also called. That said I think you're more or less fine pre flop.

I don't think you missed the flop that bad. You block top set, the deuce should not be in your opponents range and you have a backdoor nut flush draw. Because of this I'd consider potting or at least making a substantial bet on the flop. Given your check and the button's pot (you didn't say but I'm assuming the BB folded) I'd consider check-raising all-in now. If he's raising on a big draw/wrap, small draw, or even a pair/weak draw hoping to blow you off your equity now is the time to get it in. Just calling is horrible and I'd only fold to a super nit,

Oddly in a recent nine hour session I wasn't dealt aces once and had one of my better PLO wins ($5000 plus), That said I haven't been destroyed often with aces for the last few years using the "less swingy" strategy I mentioned in a paragraph above. In other words I don't press small edges if it adds a lot to my swings and only a little to my expectation. I do play for needed extra income but my poker money in only in the $30K range so avoiding $5000 plus losing sessions is something I find desirable and has kept my away from being a railbird for my poker life. At the same time I'll never be a high stakes crusher either but I've come to be at peace with that.

At 2 SPR, I don't think you can fold AA, top pair, and BDFD. Therefore, I would pot turn to deny equity.

At which SPR you would consider folding naked AAxx without BDFD against 2 players?
And at which SPR you would consider folding AAxx with BDFD against 2 players?

At which SPR you would consider folding naked AAxx without BDFD against 1 player?
And at which SPR you would consider folding AAxx with BDFD against 1 player?

It is all about thresholds, isn't it? Curious to hear whether professional players find thresholds they all would agree on.

For these types of questions, you'd be best served checking with a solver.