I come from a place with a large highly-regarded program and was advised not to do aways. If I had to do it over again, I would probably choose to do one at a place with 4 or 5 residents per year (Pitt, Mass Eye&Ear, Michigan, etc.) and one at a 3 resident per year program (virginia, emory, etc.). I would have liked to see what a somewhat smaller program was like, how they managed call schedules, etc.
In your position, it's probably also important to find two letter writers in the field. It doesn't necessarily have to be written by the famous chair at the program. Large programs in particular have many well-known ENTs. Just try to get to know well two of them if you can. According to a recent article in the Laryngoscope, most applicants have all or all but one of their letters from ENTs. In such a small field it does help quite a bit to have a positive letter from someone who others know. That said, don't stress too much about not having a home program. If you do an away or two, you'll get the letters.