Tim, there have been lots of recommendations for house hacking, buying a duplex or other multi family and I second those recommendations.
To get past your concerns of 1. Not having tenants pay - you get to pick your tenants, so you can avoid most problems by buying near the university and renting to college student (parents almost always foot the bill and they are concerned about credit scores and defaults for themselves and their children) or picking a nicer neighborhood where good quality tenants want to live and then screening them really well. You can find lots of info on here about how to pick good tenants.
And finally #2: Not being nearby to respond to calls from tenants if something breaks. What you can do here is have an agreed upon arrangement with a 2nd party to act as your go-to in the case of an emergent repair that you can't address - your dad may be a good fit for this. You work out the labor rate in advance and some of the "what to do if" situations. You can have this person on call for you in case you need it.
I am military and not local to my rentals so I have a good friend that I have answer all the phone calls/texts and respond to and fix minor problems at $25/hr (it used to be $15/hr but he has saved me so much money that I told him to charge me $25!). It has worked well for me. He is not my PM but is much more than just a handyman. It helps that he is a fellow investor and has rentals just down the street from me.
There is a lot you can do at your age and with your living and expense situation. Buying a primary residence, renovating if needed, house hacking, staying the required length of time, and then moving and repeating this over and over is one of the lowest cost paths for you to get a lot of experience and doors at a low cost with a low capitol amount since you get access to low down payment loans and good interest rates.
Feel free to hit me up with additional questions. I was in your shoes about 15 years ago.