AZ 366 Is a hidden gem south of the grand 191 (Devil's Highway).
It's spectacularly beautiful and takes you to a high elevation. Corners are often tight and there are several sets of switchbacks one needs to be ready for.
Beyond the end point the road becomes unpaved. During good weather, with proper bikes, You are welcome to continue on and enjoy further.
US Forestry service people are typically there, but they are quite friendly.
It's much more technical than fast. Enjoy!