leave it and add a groove to the face or multiple grooves, say two or three, parallel to the edge.....
thin and shallow as if they were thickened paint/pencil lines...
spacing/width/depth is all a mater of aesthetics....

use a variety of pencils (thick/thin/sharp/dull point/etc) to make your lines...
erase what you don't like...
mimic cut what you decide on..

 

Stick I think you have a great idea. It's kinda different as I haven't seen that done on a sign. Thanks

 

Don, I am not clear on what you want to do. It looks fine (actually better than fine) as it is. Do you want to put a roundover or chamfer on the edges? If so, just start with the end grain and follow the diagram often posted by @Stick486.
Wouldn't you know it, I cannot find Stick486's diagram but I copied essentially the same diagram from my Bosch MRC23EVSK owners manual:

 

Don, I am not clear on what you want to do. It looks fine (actually better than fine) as it is. Do you want to put a roundover or chamfer on the edges? If so, just start with teh end grain and follow the diagram often posted by @Stick486.
Wouldn't you know it, I cannot find Stick486's diagram but I copied essentially the same diagram from my Bosch MRC23EVSK owners manual: View attachment 226266

here...

.

 

Thanks very much @Stick486. Much more complete.

 

save them...
use them...
help others w/ them...

 

I`m surrounded by red cedar so I work with it often. Going counter clockwise, when you pass the `see`part of the sign until you get directly over `Tennessee`you risk tearing a strip off the sign. Same thing as you approach the stars at the bottom. Taking small cuts doesn`t always help. And it will leave rough grain no matter what as you go over the end grain but at least red cedar sands easily (wear a dust mask, the dust is deadly to some people). You could nibble away by taking small climb cuts at the high risk spots. When I do that I anchor one arm on the table and take small arcs using my free hand.

It`s up to you how much risk you are willing to tolerate.

 

Stick nailed it. It is string inlay and with the pieces so narrow they will easily follow the curves. Good luck.
If I remember right there is a string inlay video on the Craftsy web sight. Inlay makes any project pop.

 

forgot to mention/suggest that you RO the OS edge ever so slightly...

 

Great lookin' sign Don.