To get the best price for an item, it is generally a good idea to give it the most exposure possible. As Jack suggests, e8ay permits the entire world of buyers to determine value.
There is no substitute for quality photographs and an accurate description of physical condition and shootability regardless of where you list the bow.
Generally a bow like this in good condition brings $150 to $200 which is consistent with Brad's earlier reference of less then $200 that he paid for his mid 40s# 1959 & 1960 Kodiak Specials. Obviously in an auction format, some prices are higher and some lower than the average.
A premium can often times be added for exceptional wood grain, rare length (62" in the case of this bow), originally attached factory original strike plate, rest & string, or extras such as the original warranty card, original box, historical significance of owner, etc.
Keep in mind that the 1960 Kodiak Special is not only a great shooting bow, but also a very collectible bow. Many of us who shot these late 1950s and early 1960s Bear bows when they were introduced, are still among their biggest fans today. Unfortunately the heavier weight bows have a very limited audience among us now near-elderly Vintage Bear hunters/shooters simply because many of us are unable to still make a habit of regularly shooting heavier weights.
If you are fortunate enough to expose the bow to two or more strong young bowmen who are interested in owning and shooting a bow of this weight, and they like to bid in auctions, you might be fortunate enough to get more than the average price.