First - that sounds awesome. Just generally, I pretty much always think an experience like that is worth so much, regardless of if it goes as expected or not. So if you can make it happen, try it!

Onto the details - It will be expensive. AirBnB is probably also not going to be very cheap. Your best bet is probably to find a sublease from someone on Craigslist. You can probably get a room at a decent price doing that, but it would need to be done in person to avoid CL scams.

For the job I probably don't have the best perspective to give you a perfect answer, but generally I think it would depend most on what your expectations are and what size the company is. A small startup probably won't have the time or energy to expend on a 2 month temp. A larger startup might, but the challenge would be to get their attention.

You're best bet might be to apply to some sort of internship program - I think I've seen a couple larger startups have things like that. Not sure about the pay though. Or you could try to find a company that needs contract/freelance work.