Hello TheWinnerTakesItAll,
I'd most likely lead out myself on the turn while BU shows weakness with his Bet size there.

Or either even start Betting right on the flop myself to avoid Check behinds while they not gonna CB anyways with total air there.
As played on the river it's kind of cruel but I doubt that we are able to get away while he could as well have worse Ax hands.
Best Regards.