I'm not sure of the actual value, but I would not sell a rare rifle like you have there. Pre-64 Winchesters are collectors items and do fetch a good price on the market, and yours looks to be in very good shape.
If I were you, and didn't really want to shoot it, I'd store it as these only increase in value over time. Beaitiful rifle, I wish the FN ones came from the factory with a stripper clip.