You might want to check out https://www.fedscoop.com/civic-digital-fellows-demo-day-2018... if you're looking for that!

Any nontechnical roles ever come up? I'm at the e-Residency program in Estonia leading a team but definitely want to come back to the States and serve at some point

Most of our work involves engineers, designers, and product managers. Under the product category, there's also the notion of a "bureaucracy hacker" who helps get things done and launched. Those folks might not always be super technical, but are good at pushing to make forward progress.