You're better off check/raising because the button was the pre-flop raiser and will c-bet a decent % so you'll usually get a chance to check raise.  Although, if the BTN checks behind, you are still on a draw, so I don't think it's too bad for you.

Once SB re-raises.... I think it's interesting as to whether or not you should just flat the re-raise or shove.  I think I'd be inclined to consider just flatting it to try and get BTN to call more often because if your draw hits, you'll have the nuts and can triple up, rather than double up if you shove now (assuming if both call this raise, they'll both call a shove on the turn).

*** Disclaimer - This could be a pretty spewey play/line, but I'll share it. ***

Preflop - With AAxx, I'm kinda of the opinion that if I can get AIPF with it, I always will, but if I can't get the other player pot-committed preflop, then I'll just play it for what it's worth post flop (set-mining or nut-flushing).

By the time it gets to you, I think you can pot it for around $6, which isn't really enough.... sometimes here, I min-raise it with the hope that the button will 4-bet and then give me a chance to get AIPF..... At $50PLO, players will often 4-bet with some good wraps and if they're bad, sometimes with KKxx, which is pretty ideal.

Otherwise, they just flat the min-raise and it's no big deal, probably just looks like you're trying to re-steal from BTNs initial steal IMO.