Does anyone not lose their stack here?

[The Stick]

I go broke here. Similar happened to me on the first hand of a 33 yesterday. Get dealt 44 in the SB. EP raises from 10 to 40. I call, BB calls. Flop is A 5 4, two clubs. I bet about 90 (pot of 120), hoping for a big ace to come back over the top. BB calls, EP calls--I figure him for the AJ or such, and BB could have a wider range. Turn is a 2. "Great. BB probably has A3o & just hit his wheel." I say to myself. I bet out anyway, 200. BB calls, EP folds (later says he did indeed have AJ). River's another 2. "Whew, outdrew his wheel." I bet 300, just less than half his remaining stack, hoping for a call. BB reraises all in. I call, expecting to coast a nice stack thru much the rest of the tourney. Instead, he flips over pocket 22s and I go broke, unable to do anything about it.