There is no "lightweight" bike that will withstand that abuse (I say that knowing full well that my Kona Stuff will get the same treatment later this week
). I would think that if you want to play around and jump off stuff, get a dirt-jumping type MTB. I ride a Kona Stuff and find it perfect for aggressive urban riding, but to try and ride it the 5 miles to work is brutal. I have done it, but it is not fun. You could get something fully rigid (no suspension fork), but make sure it is beefy.
I think the best solution is 2 bikes. One "good", beefy bike to play on, and then one (probably an older road bike) to actually commute on. The benefit here is that bike #2 would be cheap and you could lock it anywhere with little risk.