Thanks for all the great replies. I wish I had the tools to make a plinth myself, but since I don't I think I'll just save up to buy one. I'm not seeing anything much cheaper than $1,000, so it might take a while. Is anyone aware of a source for nice plinths that are less expensive than that?
Just for your amusement (since I assume people who read these forums find this as interesting as I do), the table is sitting in a walnut console, mounted on a 1-inch thick walnut board. It has a Rek-O-Kut S120 tonearm, and I mounted a Shure SC35C that I had available. Even in that state, it sounds fantastic.
All I've done to it at this point is add a drop of oil to the idler wheel bearing, a few drops of oil for the top of the motor and the spindle bearing, and oil the felt washer.
I'm planning to mount an SME 3009 II with Shure V15III (SAS stylus) as soon as I get a plinth (or maybe in the current board for now). That's about what my budget allows at this point.
Short of sending it off for a full refresh, any other recommendations for what I should do to get the best out of it for now?
Thanks again for all your help!