Hi Kylie! You are definitely right that leases go very quickly, but the good part is those that go quickly are usually on the "wrong" side of the river for med students. Aspire apartments are very clean and they have a nice gym and community center. I don't live there, but a lot of my fellow M1s live there for the first year. We had a grill out there during the summer for the IMEI program and it was pretty nice. I would warn you that the private corp that bought Aspire from the university of Iowa has been repeatedly upping the rent year to year so I would keep that in mind if you plan to live there for 4 years. Otherwise there is a bus that goes straight from Aspire to the doorstep of the med school. It is not walking distance in winter but during the better weather you could easily bike or take a run to get to school.
If you have any questions feel free to ask away! I did my undergrad at Iowa and a masters so I've had a lot of experience going from living on campus, to renting, to subletting, to storing stuff while traveling abroad, to owning. Be happy to help!