Well, if you are an LC Smith fan, this is a fairly desirable model. Introduced in 1924 (there is some argument about this) to compete with the new AH Fox HE model, both designed for extra long range and to maximize the new SuperX powder from Winchester. The Foxes, often called Super Foxes, are generally more desirable than the Smiths, all else being equal.
As a Trap grade, this would put the gun at an ornamentation level similar to a Fox B grade or a Parker PH. If Elsies are anything like Foxes, most of these long range guns would have had very basic ornamentation/engraving. They were really made for waterfowl hunting, not showing off. So there is the possibility that the Trap grade, while kinda common for regular Elsies, is quite rare on a Long Range. IDK.
As a 32" barrel, full choked and 3" chambers you have the most desirable configuration. The Hunter One single trigger, standard on all Trap grades, would be desirable for collectors, less so for those intending to use the gun. And having been refinished, this is no longer a collectors gun.
The fact that it has been refinished will reduce the value somewhat. It would help to know who did the refinishing and exactly what was done. This info can affect value.
For vintage SxS values, I typically (along with some others here who have come to the same conclusion) start by understanding that our market is not nearly as vibrant as the US market. So realized prices are always lower. Typically, I look at an equivalent model in equivalent condition and see what it is selling for in the US. Selling for, not listed at. I then consider that number to be the top end of the range in Canadian dollars in Canada. It means that if the gun is valuable enough it may be worth it to go through the headache of exporting to the US for sale. But most are not.
You have a reasonable unique gun. But that doesn't mean it is worth a ton. A Fox HE in the 32" / 3" config in good, refinished condition will sell in the $4-6K range. The Smith will sell for noticeably less. Just how much less I am not sure.
The very best ways to determine value start with understanding just where this gun fits into the world of LS Smith guns. How rare in this configuration. To do that, go to the LC Smith Collectors Association website and ask some questions there. Do not expect to get a accurate value from them, just info about what exactly you have. Then scour US auction sites for similar guns and look at their prices, both sold and asking. Because this is relatively rare, there won't be a lot. You will have to make some assumptions. But also know, the market is off right now and a gun like this is only ever worth what someone will pay for it on the day you try to sell it.
