As we so often muse....
"My... what an interesting first post."
but... I'll offer some ideas...even though it's "no registration, no title, no car info, no profile"
If the car has an out of state plate, then it was registered at one time. Contact that state's DMV and request duplicate paperwork.
You said you "ran the VIN"... whatever that means.
Usually VIN's are assigned to kits when they are being inspected or registered the first time... that should help you find the state that originally titled it.