Whoops I haven't been online for a bit- I know some of the lab animal stuff was covered by someone else so I'll let you know about exotics!
We have a zoo/exotics/avian/wildlife club where we do a lot of cool lectures about exotics and wildlife, as well as wetlabs for procedures and handling. The Raptor center on campus is somewhere you could volunteer or shadow, and the wildlife rehab center nearby is the same for everything that isn't raptors. In core classes the teachers try to include exotics when they can but it isn't emphasized very hard. Second year we do take Avian Core that is required. There's a non-traditional animal elective first year where different vets come in and talk about lots of different careers you can have with zoo animals, exotics, wildlife, fish, you name it. There's also a topics in zoo med course where you can actually go to the zoo with the professor and see some cool procedures! Second semester and onward there's a Zoo rounds class where vets from the zoos nearby and the raptor center meet and round with our exotics-enthusiast pathologist and talk about pertinent cases/topics (for example when I took it we covered CWD, bird wound healing, some weird virus cases, etc). I don't know what is offered in terms of third year electives. For rotations there is an exotic necropsy rotation with that pathologist and a raptor center rotation, but for the most part exotics work will be with externships.