In that case FT, if you're going to be in the Verde Valley/Cottonwood area already that saturday morning, and also considering what Becky said about a possible backup of vehicles into the Grand Canyon entrance from Williams on AZ-64, then maybe going the counter-clockwise(that's "anti-clockwise" to you "funny talking foreigners" over there, of course ) route, headed toward Jerome first instead of Williams would be best. This way both objectives of a hookup with your party, and the lessening chances of a backup into the National Park could possibly be met.
(sounds like the old "win-win" to me, kid!)
Yep! Just like a good Single Malt Scotch, you might call me "an acquired taste" TOO.(among the many OTHER things you may care to call me, of course)