Welcome to the forum, I would suggest you visit a sign or trophy shop in your area. They do custom engraving and you get that "face-to-face" interaction to ensure you get exactly what you want.

 

I agree 100% with @John Smith_inFL about trophy shops.
That is exactly what I have done and the prices were much less than I expected.

 

I had a trophy shop years ago. I would do that sort of thing for $1.50 a minute of engraving time ($15 minimum). That would include basic design work. An initial would have been basic design work for me. Prices have probably gone up.
When you call around be sure to tell them how big the board is. My laser bed was 12" x 18" so too small for that job. Be prepared to provide some scrap wood for them for testing to get the correct settings. Preferably finished the same as the final product.

 

A branding iron works well .