I did similar to what you are doing. Started out with a large bank owned two family property that i used a 203k loan to fix up and lived in upstairs unit for four years in UH. Even though i didn't really know what i was doing when i got started, the deal ended up being alright for me over the long haul, and allowed me to continue to learn and save up to buy more properties.
Have definitely done way better deals since that time. Just the increased cash flow from house hacking makes it very much worth it even if you don't knock it out of the park. Also, I'd rather sacrifice a bit on cash flow and live somewhere you really like and feel comfortable.
I work in beachwood as well and since that time, I have saved substantially on income taxes by having moved from UH to Beachwood. I also found a rare SFH with an in law suite with separate entrance which has allowed me to find some creative methods of continuing my house hacking ways. I'd recommend you look for something like that as a happy compromise if you can find it. Beachwood also has easy highway access.
PM for more details on different options with this approach. Nothing outside of apartment communities zoned MF in beachwood, but there is still a way to rent out a "room" legally in beachwood, and you don't have to do a yearly rental inspection ($500 annually!). Same for a lot of the other suburbs south of 271.
Lastly, my 2 cents, most of what i have seen on MLS in places like hudson, solon, or chagrin falls that is zoned MF certainly didn't make a ton of sense on paper to me. But then again, with a house hack, any subsidy to your primary residence can give you increased cash to stash, tax advantages, etc. so that you can more quickly get to your next investment property than if you were just living in a retail SFH.
Best of luck to you!
Daly