So I don't have any further info.
You have done a really good job researching the pool table thus far.
For pool table valuation, we typically monitor the market (eBay, craigslist, other pool table dealers) for recent comparable sales.
I've not found any identical pool tables having sold recently, but a few similar. Yours is in much better shape than those were. Typical price was around $500 on the ones I saw.
Best you can do now is create alerts for yourself on the various classified sites, and make notes as the sales occur.
Please don't take the following as an insult. Just an honest account of my observations of the market over the past 5-10 years.
One thing I find in almost all cases with antique pool tables from this era - they never sell for what the owners think they are worth. The used pool table market (especially for 1925s to 1980s pool tables) is very weak. The styles are outdated, and trapped somewhere between "timeless classic solid wood furniture-style pool tables" (e.g. 1920s and earlier) and the pool tables from the late 1980s onward that fit in more with modern decor. Your AE Schmidt pool table, while very nice, isn't particularly collectible nor is it a sought-after brand or model by folks who collect antique billiard items. Folks who are after a high-end antique pool table are typically looking at the 1900s-era Brunswick Balke Collender models or even the pre-1900 A.E. Schmidt tables.
What I have seen over the past 5 years or so is folks giving away pool tables like yours (or selling for next to nothing) e.g. perhaps they inherited it after the death of a relative or parent, and don't really care for the game and don't want/don't have room for a pool table. They just want it gone. These "give-away" prices make it hard for folks with a nicer pool table like yours to get a proper sale price.
If you want to get a good price for the table, the best way to do that is with time. If you aren't in a rush to sell it, and can afford to wait for the right buyer, then you'll do better.
Either way, let us know how you get on.