I would go to SDSU. The problem with traditional premed is that applicants don’t always get into medical school. And they’re stuck with a biology degree they can’t do much with. Nursing is a ridiculously employable degree and will guarantee a good comfortable career if the medical school route fails. Also, nursing degrees meet most or all the prerequisites for most medical schools anyway. You might need to take a few additional bio or chem classes to be on the safe side. An advisor can help you with that.