Typically, most cities allow for 30 day minimum rentals.

I am a very active realtor in both the Kansas and Missouri side of the CASEY metro, and I frequently work with local and out-of-state investors, helping folks find small multi as well as STR compatible homes.

My home is upstate NY.

Does anyone know of any lenders that will give what were looking for even if the title of the home is in an LLC? 

Your best approach to offer seller finance to the seller is when the home is off the MLS.

South Utah County and the Eagle Mountain area are where I would be buying and specifically new construction and small cheap single-family homes.

My company builds and sells single family homes in SW Florida.

The struggle comes when you plan to sell, pay close attention to how the bank would treat the loan in the event you would sell.Even though its a bit more work, banks are typically open to these loans as it provides them with additional collateral in the event of default.  

It is a bit more saturated with buyers and overall sale price of homes are higher.

Give them enough money every month to cover the negative cashflow due to their nursing home bill.