We have two exotics DVMs and (I believe) 1 resident. I did a bunch of shadowing in our exotics department in undergrad and it was a fabulous experience. The clinicians are very willing to include students and let you get your hands dirty. Our exotics department also sees all of the wildlife cases. Last year we started a new program (based off something similar at Illinois) where 1st-3rd year students can sign up to be on the wildlife exam team (I don't know the actual name of it) where you get to be the primary person in charge of wildlife admitted after hours. One of my classmates did this and had a lot of fun! We also have a Raptor Club where students can learn to handle the glove-trained birds of prey that live in our Raptor Center. The department is physically small but I would call the caseload is robust. Lots of rodents, rabbits, ferrets, parrots, snakes, wallabys, pigs, tortoises, you name it.
ETA: students of all years are invited to shadow in the hospital at any time starting day 1. Exotics is a great place to do that! We also have a Zoo, Exotics, and Wildlife (ZEW) Club and a club called the Wildlife Disease Association. There are also 3 exotics electives available to take in 3rd year.