No reason at all, same with Cottonwood road in that area. The only thing that would stop you would be a heavy rainfall as the roads get very slick
Disclaimer: I have not driven either road but we are leaving in a couple days to drive one of these roads on our way to Payson Arizona, but from everyone I have talked to it should not be an issue. Not sure which road is more scenic as I have read great things about both of these roads, but believe we will try Cottonwood first. Good luck and have fun.