Hopefully you’re coming from somewhere you’re used to climbing based on the rides you’ve suggested. That being said, one of my favorite rides incorporating gravel climbs is Four Mile Canyon to Gold hill (bring some cash and hit the “Gold Hill Store” if you want to fuel up too). There are round about ways to get to Ward via dirt, however you will be on pavement in and out of Ward. Super Flag is very cool ride also. If you want to forego the majority of Flagstaff’s paved beginning, start on the Boulder Canyon side and ride up Chapman Rd. It drops you out onto Flagstaff just below where the road turns to dirt. If you want to stick to the foothills/“flats”, there are so many gravel routes, you can basically just wind your way through the county for the entire day. You may want to check the website, Full Cycle generally has weekly gravel rides on Sunday leaving from their shop on Pearl Street. Have fun!