Ford parts are presumably much more expensive than old-school LP setups.

With that much money at stake I'd find a good gasoline truck with cosmetic damage and use the cherry 99 for an organ donor then part the rest out if I had to have an F150.

If I didn't have to have an F150 I'd sell it "parts only". Used car dealers often buy "parts only" vehicles because one can fix two or three wrecks. They send the stripped cab to the crusher when done, and those year trucks are very popular.

If you do the "pay large fee then scrap" method, I'd strip that truck bare and scrap the cab and frame in accordance with regs. (Find a printed copy, accept no verbal answer since it's a LEGAL question!)