I don't think most residency programs allow you to have more than a month of away elective time (since it wouldn't make much sense to pay you to work for them if you were at a different hospital for much of the year). However, there are internships that allow for elective time.
Since you're a DO (judging from your prior posts) I'd say look at the traditional rotating internship programs. They are not as competitive to get as MD transitional years are but often have a similar structure. Many of them will give you several months of electives and some will allow for a month of an away elective.But choose carefully, because some of them have much more rigid schedules than others do.