These roads are all fine during the summer although as said above there may be some winter closures. You're certainly getting in the area where closures are expected, like for example the road out of Jacob Lake headed south is closed every winter although I don't know exactly where the closure is.
You should state your points of origination and destination since there may be better routes than the one you've assumed.
I've driven all over, back, up and down that area (the AZ strip) during my camping. I love it!
