So you need to take this one seriously; if this place was an AirBnB STR, you could be de-listed from the platform for the presence of rodents. 

The most popular states to form LLC's is Wyoming and Delaware.

Jim Cran De minimus safe harbor election allows for items under $2500 to be expensed.

This de-waxed shellac solution eliminates the toughest odors—food, pet urine, cigarette smoke and more—and won’t yellow with age.

I live in Delaware County; north of Columbus (although originally from the west-side of Cleveland).  

The only time they will not allow the house to be de-winterized is if the property has already been determined to have freeze damage. 

I have aconventional loanfor 50k is it possible to buy and rehab a property on that budget in Delaware?

You could set up a Delaware or Navada c-Corp, and hire someone to be nominee director to sign and be public documents.  

It is always interesting when you use amortization schedules to show how much interest people pay over time, the value of the dollar that Washington threw into the Delaware would be enough to pay off the national debt if it had been invested wisely.

Check out these states competing for corporate business and registration: https://www.myusacorporation.com/articles/delaware-vs-nevada-vs-wyoming.html My state did away with franchise tax a while ago, in 2013 no corporate tax for pass through income.