I can only speak on Columbia, given the fact that I never applied to USC. I thought Columbia had extraordinary clinical affiliations, a well-rounded curriculum, and it was attached to a world class hospital. To be objective, the price is also relatively steep when comparing it with USC. You will more than likely be at 150-180k+ all told; if you are totally flipping the bill with student loans. That is a consideration(at least for me it is). In doing my program research, USC appears to be an unbelievable program as well.
Someone has a tough decision to make! Join the club! Whatever program you choose, best wishes moving forward.👍