I am a med student who likes to visit the admissions office now and then (they really are a good bunch), so I know some information you small-poolers might be interested in. I'm pretty darn sure this information is correct, but do take it with a grain of salt.
There is basically a single person in the admissions office that ends up picking the majority of interviewees from the small pool. She browses applicants and extends invitations to the ones that catch her interest, but unfortunately there is some element of luck in getting your application looked at. Now, other members of the admissions office can look at your application, and if they like what they see they will ask her to take a look at it. I do know who this important person is (it may be the director, it may not), but I don't want to give the name.
If you are in the small pool and getting impatient, you should give the admissions office a call to express interest and enthusiasm. They will tell you they don't extend interviews on request, but that's only half-true: they have admitted to me that "engaging individuals" on the phone will have their applications looked at, and if they like what they see they will refer that application to the important person I've mentioned. This basically helps eliminate the element of luck, nothing more.
A question I often get is "what do I say on the phone?" – Well, that's really up to you, but my advice is to just be yourself and tell them how excited you are at being considered for such a wonderful opportunity. Tell them why Vermont interests you and that you look forward to hopefully moving along in the application process.
Hope this helps some of you, best of luck!