I need help on the lending side for this potential deal...I am negotiating a purchase agreement with a seller carryback of 20-30% as a second-lien position. 

My trust was created and follow the rules of FL, if that makes any differenceI purchased a home and transferred the deed into my trust.

My question is can I purchase a property as a house hack in a different state even if I never actually live in it?

You can have a candid conversation with him to review your financial situation to determine Nathan Green's #2 point about getting your finances in order to be ready to purchase your next investment property regardless of your exit strategy.

"Shadow-anchored," meaning the Target or Costco building isn't included with the purchase, but it shares a parking lot or similar.

There are lenders that will help finance up to 90% of the purchase price and a 100% of the rehab up to 75% of the ARV with 660 and above credit (the exact details depend on the property and the borrower's credit profile).

Seller Financing: In some cases, the seller of the property may be willing to finance the purchase themselves.

Purchase was $134k and it has fully depreciated after 27.5 years.Second unit is a $350k listing with a $45k mortgage remaining.

Why not buy it with private money, borrow enough for the purchase/repairs/carrying costs, and then refinance once the repairs are done?

Typically, you can purchase an umbrella policy for as little as $300-600 annually that offers a million dollars of liability coverage.