I think if you're going to bother to do an away... might as well put yourself out there and do one that's a bit of a reach for your stats. (However, don't be afraid to phone them up to ask, "Does your program consider DO / FMG / IMG applicants for residency?" if you fall into one of those groups -- no use wasting time and money rotating somewhere that won't consider your app, either.)
Mt. Sinai - Have never heard a negative review of rotations or interviews here. Most residents seem to go into clinical (private) practice. People I talked to really did enjoy their rotations. This is not considered a "top tier" academic program, but still highly desired for happiness factor. You do NOT need a rotation to interview there if you're an average allopathic candidate with above average boards or grades. I liked interviewing here and would've ranked it very highly if I had wanted to actually move to NYC. No DO's present on my interview day that I can remember, but that doesn't mean there weren't any -- I'd email/call their residency coordinator and ask directly.
Columbia - A good fit for someone interested in academic medicine, research, a fellowship after residency, or interested in competitive markets elsewhere afterward (say, if you want to move to California after residency). Rumored to have some hospital-wide issues (the main one being bigness and high volume), but I ranked it pretty highly (top 5). Program has a strong reputation as being "top tier" in research and academics.
Cornell - If you're curious about regional anesthesia, maybe look here.
NYU - Probably not a "reach" compared to any of the above, but I did meet a couple of students who enjoyed their rotation here. Definitely met some DO interviewees on the trail.
Take what I say with a grain of salt -- I didn't rotate at any of them, just interviewed there -- and did not match there. 🙂 Do read the Scutwork.com reviews on all of them and search the forum for old threads -- most residency programs have something to hide, but as an applicant you have to just pick what you want and accept the negatives as well. 😉