The obvious answer here is to somehow get some income and start paying down the credit card debt. 

That would be a debt service cover ratio of 1.5.

.- If I use any of the above, can I use a portion of the money to pay off personal debt?

A solid pre-screening of the contractor upfront that spells out the expectations should somewhat reduce or eliminate the question of one side bailing out on the other.

I conducted title searches to confirm there are no liens and double-checked with the county to ensure there are no outstanding debts.

. $100 million equity & debt managed.

These markets tend to attract a lot of investor activity, which can drive prices up, leading local homeowners to take on more debt to afford homes in their area."

You don't necessarily need to replace it with exactly $140k in debt, as long as the total purchase price meets or exceeds your sale price and all the proceeds are reinvested.Using Proceeds as a Down PaymentYes, your $300k could absolutely serve as a down payment on a larger property, like a $1.5M asset, depending on your financing.

I want to place a lien on my Ohio home (that is owned by my single-member OH LLC) with my WY LLC (or could use TX LLX) as the lienholder, so it shows debt and strips the equity. 

The LLC is a pass through entity and will show up on your personal Schedule E and once the property shows up on the LLC, the debt (that probably won't show on your personal credit report) will be included in your total debt.