Howdy,
Model 97's are hard to price accurately. You could pull up a bunch on Auctionarms and monitor them, I guess. With the Chi-com 97's on the market the cowboy shooters can buy a new 97 for about $300. And, as a rule, the new breed of cowboy shooter isn't interested in shooting odd calibers and gauges. 12-gauge is a popular and affordable shell, while the 16 is a scarce bit of ammo in some locales.
You don't find a lot of 16's around, though. There is a group of die-hard 16-gauge fans out there who would be glad to have it. Winchester shotguns are not hurt by professional re-builds. A Winchester is expected to be shot regularily for a looong time, then re-built and back to the range. I don't think a good re-finish would bother anyone.
Lucky you!
Bitterroot