My concern with the home equity loan strategy is I'd still have the first home mortgage, the equity loan, and a new mortgage (albeit reduced from the down payment).

A concern, however, if we do a sale, is with the price, as I understand that if I sell at too low a price (say, $200K, give or take a few thousand to pay off my current mortgage), the IRS could assess a tax on my parents if the price is more than 25% below market value. 

How can I effectively address the concern of losing Airbnb reviews when convincing a potential client to switch from Evolve to my local property management company?

I’m mainly concerned about the rate change happening without prior notice, especially since both loans started and are closing on the same day.I’m scheduled to sign tomorrow and close on Friday.

No, just inform them you are the new owner (they may want proof) and provide them with the address to send payments. 

My concern is that I might be over leveraging myself if I try pull out a 20% down payment for a DSCR loan.

Concerns: Although the cashflow is good, we weren't sure it's valuation and potential for appreciation since there is no good comp like this property in the area.

I can disclose the property address and details if you would like to chat.

While he wasn’t successful getting the insurance companies to accept liability (initially), he pointed out to the plaintiffs attorney that (1) the owner of the condo was an LLC, not me personally, and that’ll business concerning the condo was done in the name of the LLC, and (2) the only asset of the Series of that LLC was the condo itself, so that the legal entity owned only that single asset.  

The letters and post cards are coming to my personal address but they don’t mention the property in question.