You will have to check your local laws but I am not aware of a requirement to post to the MLS.

As a first time investor looking to make the first purchase on a multifamily home in and around the city of Columbus, OH, within the next 2-3 months, I wanted to ensure I have all the information I need to be able to quickly and efficiently analyze and decide on a property worth investing into.

Does this guarantee that a seller wont give in to greed and try to get out of your agreement? 

Are there strategies, financing tips, or resources you’d recommend for someone in my position?

I'm local to the area you checked into on the post.

This 1031 Exchange Calculator can help you model out the taxable proceeds based on various situations. 

Don't just find out how it's all licensed and check on any historical issues with it, no you want to meet with local board members, find out how they really feel about the place and what the cities wants and plans are for the place.

Quote from @Fernando Martin-Gullans: Hey y’all, I’m a retail investor with 2 SFH rentals worth a combined ~$650k looking to utilize some of my stored equity to buy more out-of-state properties, but I’m not quite sure how best to proceed given that my interest rates are incredibly low (leaning me away from refinancing) and neither property is owner-occupied (which I believe prevents me from using a HELOC).

I’m struggling to understand why all of this is necessary just to use their property management software.

I only spoke with one person so far and they scheduled for more information gathering/ rental investment calls from them this upcoming week.