It gets better every day. async/await is relatively new (stabilized end of last year). All the misc libs in the Tokio stack have been updated. There is Tonic for gRPC, Hyper/reqwest/warp for HTTP, ... these all work with async/await now.
For docs, there are some now and I expect it to improve a lot throughout the year.
We also just posted mini-redis as a larger "real world" example: https://github.com/tokio-rs/mini-redis