Hey girls, can anyone tell me if there are any good road biking trails in AZ around the Grand Canyon area.

We are going there on vacation to see the Canyon, and I want to take my bike ecspecially if there are some pretty places to ride. We will be staying in Williams with some friends and site seeing daily, but I thought evenings I could ride a bit.
I don't want to take my bike if I am not going to be able to find some places that are nice to ride.
I looked on the city website, but it just says there are mountain bike trails.

Anyway, any help would be much appreciated. I would really like to ride somewhere besides around home, which is what we always do.