I hesitate to suggest prices anymore, because time and area of the country can have fairly large influences.
The 4-digit 22-250 is the most common chambering, assuming you have a BB (like the current 1B) and not some rarer configuration (and there are several possibilities). Also, it if has the early veritcally split rings, that will add a fair bit to the value.
As for the Lyman overrun, I think that's anyone's guess. There are not many out there. I am lucky enough to have one and I feel I got mine for a very good price even though it's one of the more expensive No. 1s I have purchased in the past few years.
Maybe someone will be willing to throw out a number, but it will probably be wrong (for your rifle). The best way to determine what any firearm is worth is to put it up for sale (auction) and see if it sells and for how much.