I don't know how things work in Illinois but in the states that I have lived (out West) have had the ability to title and register a vehicle with a salvage title. The "brand" on the title must remain as "salvage" or "rebuilt" depending on the state.
Here in Washington in order to title and register with a salvage title must be inspected by the State Patrol first to insure that it meets safety regulations.
If the vehicle is 15+ years old you can register it in Vermont with just a bill of sale and you can do it by mail. Be careful if you go this route. If use the Vermont route and wind up with a clear title and then sell the vehicle without disclosing the vehicles history it is fraud and can land you in a bad spot.
There is a great thread here on how to register by mail in Vermont. Give it a look.