etc..You can try to go conventional, to a community bank/portfolio lender, or to a non-bank lender for the above. 

We ending up putting 25% down on a commercial loan with a local bank.

Is there any typical reasons why the bank as not listed them for sale?

I'm looking to borrow $50k for the down payment and plan on financing the rest with my local bank.

You can also go the community bank route a look for a portfolio loan, which will give you flexibility to expand/borrow on more properties.

Your family member could also provide the financing on it and make money every month with a positive cash flow spread between the debt and the rent collected or be like a guarantee person that is the main backer for the long term loan your Bank or other lender that  owns that property with a long term loan with that property  on a security  loan until that loan is paid off.Not saying the fix up budget makes this decision fairly difficult but i would say to not have a house that needs over $5,000 on the "make ready" expense to make a 20% gross return giving a cost price and sales price you gave on your example.What you could do to find a deal is pretty limitless. 

With all the great commercial loan programs out there, if it were me, I'd search different banks for a Stated Income ALT program up to 90% cLTV with rates in the 4 to 5 range Questions:Are you paying cash?

ask for last 3 years bank statements, signed estoppel statements, and/or a signed purchase agreement that explicitly indicates the gross and/or net income of the park is true and accurate. 

Smaller, community banks are where you want to start.

For clarity sake, the previously mentioned "cash" term refers to liquid cash (cash in my bank account) not cash-out refi.