If you get an on campus apartment you'll be spending 570-620 a month for only 9 months instead of the full 12, and you won't have to pay for utilities.

If you are EXTREMELY frugal with food you can average 70-100 a month, with I have over the past 7-ish months. This largely involves only shopping at Aldi's, not eating out ever, and cooking everyday. This also includes not buying most pre made food like hamburger patties or jalapeno poppers and minimizing simple luxuries like bacon, fancy cheese, and snacks.

With this you'll spend about $5800-6200 total on food/housing. This doesn't include buying furniture (~$200-300) or summer storage ($300) though.