I'm in a similar situation as you, my parents don't allow any pets as they're scared or allergic to almost everything. I'll be going to college in the fall so hopefully during my sophomore year I'll be able to get an apartment where I'll be able to keep a 'caged animal'. Even though my parents really don't like the idea, I have two things to say to them:
1.) I'm a zoology major with emphasis on herpetology, getting a snake would be a stepping stone before I go out into the field and work.
2.) If you want me to come back home, you'll have to let me bring my snake, otherwise you can come visit me in an apartment.
So I'm curious to see how that goes and all haha.