I inherited my Dad's Ithaca 37 12ga.Lotsa good memories associated with that particular shotgun.
Had it reblued because I wished to do so.
Which spiffed it up nicely. Looks nicer than ever.
Now: Why gun collectors think that the value of a firearm is sharply diminished when it is reblued or refinished is beyond the range of my cognitive abilities. (As in, "It's been reblued. You've ruined it.")
Same as I can't really understand the fascination of gun collectors for the gun's original box, no matter how tattered, torn, ripped, etc. (They can somehow "shoot" the box?
)
Those Ithaca 37s just aren't all that "collectible". The difference in value between (a) tired old worn original gun finish and (b) reblued, rebrowned, re-whatever isn't really all that much.
So my suggestion to you is to do with it exactly and precisely whatever pleases YOU.
Like: Some kinda fabulous creative Cerakote.
Or even taking it out hunting. Imagine that.