A couple points:
October-Jan is not necessarily off-limits. That's 4 months. I'm sure you can do an away, and still leave yourself three months to interview. Three months is a long time. If you're really concerned, do it in Oct. That's pretty early in the interview process. One good thing, especially since you are a DO, is that if you are at the school during the interview period, they are maybe more likely to grant you an interview during that period. This would be especially convenient if the institution is far away from your home, as it would save you another trip. On the Anesthesiology forums, there are more than a couple DOs that did aways early, then got declined for the interview.
When I did my away, I scheduled an interview on a Saturday. I knew it wouldn't interfere with my rotation, but I let them know anyways, so I knew I would get the day off. They didn't seem to care. Another student that month went away twice, once for CS, once I think for another interview. They didn't seem to mind.
Point is, I think you have to feel out the place first. Where I did the away, the doc in charge of the clerkship only had a minor voice with the selection committee. So, I would imagine if the coordinator was cool with letting you go, the important folks on the selection committee may never find out.
Really, I think two weeks in November would be fine. When you get interview invites, they typically give you a date range, so you can easily select something outside that 2-week window.