For an internship, you really want to be on-site. The point of an internship isn't to make less money for the same amount of work while you don't have lines on your resume. Well, maybe it is for you. But, thats not what it should be imho.
To me, an internship is about learning how to work with people (or: how a business works) and meeting awesome people (or: making connections). Figure out what it actually means to ship a product, getting real world experience, etc. You can't do much of that if the only contact you have with the company is a Skype session every few days. Thats closer to freelancing than interning.
That said, if I didn't lose your interest, Justin.tv is looking for interns[1]. You should totally apply, if you're in the SF area. I can tell you firsthand that you'll have a great time and learn a ton -- I did an internship with them over the past summer. Feel free to shoot me an email if you have any questions.