Auburn grad here - so just saying that I’m biased toward Auburn. I can totally understand you wanting a change of scenery. Have you ever visited Carnegie Mellon? Have you perhaps romantized this college? If you haven’t visited I’d suggest that occur before you make the final decision. $28,000 into your pocket each year to go to Auburn should seriously be considered. You can get a great business degree there and then look into amazing business grad schools, while having $122,000 in the bank! I can also understand your parents concern about the distance, especially if you have had some mental health issues. When I was a student at Auburn, my parents were 10 hours away in Ohio. My Dad was transferred by the military right after I graduated high school, so I hadn’t planned to be so far from home. I made that 10 hour drive alone many times (long before cell phones). I know my parents worried like crazy!
Only you can decide. If you do decide to stay at Auburn and on campus housing costs are covered as you say, then if I were you I’d make part of the deal to stay at Auburn that you live on campus freshman year. I feel that is a very important aspect to college life and a step toward independence. After living on campus they should allow you to live on campus or in an apartment with friends until graduation. Make that all part of the deal.