Your family does understand that medical debt, especially the medical debt of a deceased person, is an unsecured debt that cannot be effectively collected on. Right?
The hospital might call and say "you owe us", but the Estate Lawyer who cost 700 dollars earned his retainer by saying "Dont contact my client again" (a legally binding interaction) and then working out the logistics of putting the real assets in the heir's name while dispelling the rest of the unsecured debt (credit cards. bar tabs. whatever qualifies as unsecured debt)...
I'm sorry you lost your dad, but his last offering was what sounded like a logical solution but actually just screwed over his family and siphoned money to bad people...