Replying to 3-19th of august. What to do in the states. Anywhere between Bozeman and NYC.

So,

I'll be going to MSU in the fall semester and for international students, the semester starts the 19th of august. I'm going to my cousins wedding in NYC and have nothing to do between the 3rd of august and the first day of school.

What should I do? I'm on a slightly limited budget, so keep that in mind. Don't suggest I fly out west and go ski on some glaciers, because that's not an option.
Would like to do something outdoors: hiking, climbing etc. I really want to get into bouldering and the sorts. Basically anything outdoors.
Also, if anyone wants to meet up for some crazy adventure, hit me up. I've backpacked all around the world (Extensively through south-America and Asia as well as Africa and of course I've seen the whole of Europe) and am for a good time and crazy stuff. I really don't have ANY plans and everything is fine, as long as I'm in Montana at the 19th.
Also, if anyone wants to do something crazy but needs a buddy, I'm probably down for it. Basically, I don't give a fuck as long as I have something to do.