@Sebastian Nadal Congratulations on your first purchase and how exciting that you want to start house hacking!
As someone who did something very similar to this for the last 2 years - rented out my 2nd private bedroom and bathroom in my apartment (rental) furnished to traveling professionals and medical students - I think it's a great idea!
I'm in South Loop near the Loop, lake, Grant Park, CTA, and a variety of hospitals / schools, so renting out the room on a mid-term basis (32+ days) for a premium was the best strategy for me. Since you're so close to Loyola and not too far from Northwestern, I imagine you might have a pool of people who need temporary furnished housing while they study, do a medical rotation, or travel in the medical industry. Have you considered this option as well?
The investment is a little bit more upfront since you'll have to furnish the room and bathroom fully, but you may be able to command a higher rent each month since you're covering all utilities, WIFI, and providing all the furnishings.
Either way, renting out the room is a great idea and I'm sure it will be helpful so you can rest a little bit easier while you save to move to Lakeview, eventually :)