I have a family member who will loan me the down payment on a multi family property, they have not transferred the funds into my account yet.

You can coordinate a time for me to pick up the keys, or you can leave them on the kitchen counter and lock the door on your way out.

I have a family member who will loan me the down payment on a multi family property, they have not transferred the funds into my account yet.

If you currently have a mortgage your bank will most likely not allow you to transfer the property into a LLC. 

The very first thing I would do is confirm utilities and make sure that everything that needs to be transferred, is.  

We are trying to sell the idea to the family member who let us borrow the cash to purchase the home that we can get them a positive cash flow on the property and transfer ownership of the home for the refinance and our LLC would just take a percentage of the cash flow to cover the costs of managing the rental ourselves.

I budgeted $500 for one, but to remove any feelings of guilt, I transferred a separate $500 into a savings account.

You should consider this vehicle instead, although if you have funds in existing Roth IRA you would not be able to transfer those into Solo 401k. 

So I currently run an Airbnb in Nashville (owner occupied), the market for residential str in Nashville is kinda tough. they have restrictions on str permits (for owner occupied) transfers to an llc.

the limit is a yearly one, so its not the amount of transfers that matter.