We do runs up north with the Dezert Focus gang (mostly Focus' owners but not exclusively so) and have done for years. Most go up Yarnell hill since it's the quickest and most fun way to get "north" and into cooler air. Interstates are for shortcuts home so we use them accordingly. There are several runs (5 routes) to the NW and the length of ones day and the driving mettle of the general attendees can determine the plan. Generally we do Wickenburg to Yarnell, to Prescott via White Spar (twisty city) and either back to Phoenix via 69 and I-17 or carry on to Jerome (it's easy to spend hours in Jerome) and Sedona. This Jerome Sedona run tends to take the day if any time at all is spent in Jerome. If it's to be a driving day, add Oak Creek canyon and Flagstaff after Sedona. Then back to Phoenix via I-17. There are more alternatives as well more tailored to pure driving.
Routes east, the fav is east to Globe, Salt River Canyon, Showlow, Springerville, Alpine then one of the 10 best roads in the US (per Automobile Magazine) from Alpine to the mines in Clifton/Morenci, Safford and back to Globe. This is what we all refer to as the Long Run and most the hardcores love this one, those of less driving mettle tend to bow out as it's been done by yours truly in a little over 10 hours (solo), but most often it takes 12+ with a group due to the nature of groups. Noteworthy bit about this run, it's long enough that they get talked about for years afterwards.
We've done this for sometime and none of these runs are boring.
A couple shots from some previous runs...
A run to Tucson...in Florence Jct (I think) on the back way to to Tucson.
A Kirkland Jct Dinner run, all will remember by the 3 hour dinner...
Jerome run, taken on Mingus mountain just outside of Jerome.