I can't believe it took me this long to stumble upon your mod... Thanks for the work you put in!

Would it be possible to have a different naming convention for the destination stations? For example, instead of Dispatch.1, it would be Dispatch - 1, or Dispatch - A, or maybe combine the two for something like Dispatch 1 - A. A setting option, where you specify your format string using a regex-like expression would be nice. I'm not sure how much effort this is, however.

It would be possible to change the separator (not sure how difficult it is to create an option in the menu, I have to check).

However, it would still have to be a number. I do not see how "Dispatch - A" could work, because you can only send a positive number associated with a signal, not letters or other characters. Or am I missing something?

In the end, it could be :
Dispatcher name : "[Whatever]"
Stations names : "[Whatever][Customized separator][0-9]+"

I think your solution is acceptable.

Idea (I'm not sure how much would this could be): a global list of train stations and unique number pairs (would require a custom GUI to show and manage the pairing). Then the number fed into the station could match up with a unique number in that list, allowing for stations to have whichever name they want.

I'd be willing to help out with such things.

Your idea of a global list of stations IDs is very good!
However, as you said, it is a bit more complicated to implement because of the GUI, and probably a bit more difficult to start with for beginners.
Short term, I think I will try to implement my solution, but I keep in mind yours (and you are welcome to help, the code is available on GitHub).

Hey Semaphor, LuziferSenpais "Simple Circuit Trains" does almost exactly what you suggest. You open a GUI and manually assign a circuit signal to each train stop you care about, then trains will go there when they receive that signal. I like Dispatcher because it is simpler to set up, but the other one is more versatile.