Honestly, if you're going to put stringers down the center of the board, surfboard style, you're going to drastically weaken the board for riding. I used to have a board in the late 70s early 80s that was made by Maharaja water ski company. It was oak with a deep red wood down the center, perhaps mahogany, in 3 stripes, like the Maharaja skis were back then. We never put wheels on it because it was too pretty with a high gloss finish and wasn't great as a skateboard design anyway.
If you're really going to do this, I'd recommend a darker wood like mahogany or walnut, then rip it and do a lam of fiberglass between the layers so it's invisible to the customer, essentially- except when looking at the edges of the board. This would increase your strength lost for turning torque (when putting the stringers in) and still allow the aesthetic of the stringer. Yeah, you'd probably have to vacuum bag to get it really nice, but with the glass between the layers it wouldn't be absolutely necessary. I think you'll find that if you put the stringers in without further "strengthening members" your boards will fail more often. That may or may not be a good thing if you're looking to sell boards, I guess it depends on how many you sell and how easily they fail. If it's just for personal use, it won't matter.