Look at Belize. Won't get the spring breakers and you can probably do well on your budget.

Another idea is St Maarten. Not really spring breakers there.

The more expensive the resort the less likely there will be spring breakers. So even if you decide to go to Mexico just pick ssomeplace expensive for a student and you should be fine.

You can do Dominican Republic for inexpensive. I know some people who went to the Secrets all-inclusive and said it was great. Might be an idea.

Check where your airline flies and a place you might like to go and then work from there.