I hope that doesn't sound too picky, I've just been discouraged by the slim pickings for rentals.

Probably very slim.

The only problem is, around here, my options are pretty slim.

I understand that maybe your buyers did want to go through the purchase, but decided that this was not a pill they were willing to swallow.

I will definitely get started in getting educated before getting my feet wet, and will keep my business plan slim and concise. 

Deal flow is slim right now and many people are trying to get into the same space. 

@Joe Bertolino a "mom and pop" buyer may be able to make a property work because they may do a lot of the work themselves - ie management, cleaning, etc so they can make the bottom line work for them where a more "professional" company might see it as the cash flow being too slim. 

I know the odds of a potential issue (eviction, licensing violation, etc.) are fairly slim in this scenario, but I was hoping to get some guidance.Thanks!

BUT, if they are properties that are struggling to stay occupied, cash flow is slim, in a location with not much growth potential, then maybe you should consider liquidating them. 

You can use the traditional providers that do lists for real estate agents like Expired and FSBOs, which in my market are slim and none right now.