Know that there is a difference between a Service and Support dog (there is someone on this site with a wealth of information on this who I hope drops in with what they have to say). Cost is a big difference in addition to what the animals are trained to do and laws surrounding the rights the animal has regarding things like pubic spaces and housing.

If it was me, I would contact the post secondary institution and enquire about whether support dogs would be allowed. Similarly your rental situation. If you go the service animal route, these questions are a misnomer as by law service animals should be allowed.