ChasMack
The Trapper (16" barrel) is somewhat more rare and preferred by a lot of Winchester fans, me being one. Great for woods hunting for closer shooting. If yours is a pre cross bolt safety, even more desireable.
Take it out once or twice and shoot it. Pretty good little thumper, let me tell you.
Having said that, it will be worth a wee bit more than your average run o' the mill 20" AE. Maybe $650 ish+ in a face to face. A bit more if you have box and papers to a collector. Maye $300-400 to a LGS in trade. Maybe.
The two Trappers I have are in .45 LC and a .30-30. The later being a century model of 1894-1994 with the cross bolt safety and John Wayne style large lever loop (not a great thing unto itself IMO, but there it is).
If the wood has any figure to it, even more desireable... or something to point out at least to a potential buyer (haggle fodder).
But, if you're never going to shoot it... move it for the best deal you can get. Someone out there will love it. Do you have a .44 handgun as well? (a point to also ask potential buyers who might like to have 2 complimentary firearms shooting the same cartridge)