What are my chances at UCs, CSUs, and other similar universities ? Human Bio/Nursing major

How realistic do you think USC would be for me ? I know it would be a reach for any applicant, but I’ve been looking into it because I would like a private university for cost reasons although any religious affiliation (which many privates have) is almost an automatic no just since I’ve been surrounded by a predominant religion in utah forever and favor the idea of a diverse campus. USC is a top college and I don’t know how competitive my application would be.