So the grand question - Is there a way to improve the barrel harmonics of the Bess without changing the outward appearance?
Your first question is actually how accurate are you trying to be? Are you planning on world level competition?
Whether you are or not, you will need to learn to load the Bess for accuracy first, before adding the "bells and whistles". Then look at polishing some of the surfaces of the lock or a full lock "tune up". She's not a rifle by any means.
If you cannot get a very accurate load, then all that extra time and expense of glass bedding and tuning will give you a Bess that
could shoot better, but doesn't yet.
And really if you are that interested, you need to get an after-market stock that corrects the stock angle to your shoulder. Otherwise, (imho) anything after that is moot....
Interesting - Glass bedding the barrel ought not be too hard given there's no receiver or moving component other than the trigger.
Would the improvements be great enough to merit the effort or would it be somewhat of an experiment?
Glass bedding will do a lot of things that it does not do in a modern rifle. In your musket it will reinforce the stock, and if the pins are properly relieved, it reduces the stock shrink and expansion so removes the stress on the barrel tenons. It will add weight to the musket, which some people like when shooting "unsupported".
On the other hand, while glass bedding the barrel you might just glue the barrel into the stock by accident.
Don't ask me how I know about that....
LD