Autoloaders are fun and the 10/22 is a good one. But there are a lot of used others out there. Maybe I'm a broken record, but a college student on a tight budget is a prime candidate for a nice used rifle. There are two advantages; 1.) it will likely come equiped with stuff like scopes, triggers or stocks that will cost extra - 2.) it will retain the value you paid for it. A new gun of any kind will take a "value" hit the day you unpack it and put the first round through it.
Also, the previous owner may toss in extras like ammo, or a shooting pad, sling, what ever? See what sort of deal you can do? Once you are out of school and making the big $$, you can buy anything you want. Fun and skill building are what's up for grabs right now.