What are the riser woods? What ever you are making the riser from might influence the limb veneers you want.
If your bowyer is willing to work with wood you provide, it can be fun to search for your own. You might have to wait for the wood to dry to the right moisture content since wood is often sold wetter than they like, but at least that way you know exactly what you are getting.
I'm having a Silvertip made with a nice piece of cocobolo for the riser and some really nice koa for the limbs, both found by myself on the internet. It was fun looking for it and it kind of makes me feel more involved in the build process.