I did a quick search on
ridewithgps.com:
Start location: staunton va
Is within: 10 miles
Length: any
Keyword: lexington
This turned up:
ridewithgps.com/routes/719840
(
ks1g linked to it already.)
Riders can make routes for all kinds of purposes, so any particular route might not be the best choice. But this one looks reasonable, avoiding main roads. It's probably more climbing than staying on Rt 11, and more turns to navigate, but much less traffic, and perhaps more scenic.