It's hard to recommend unless you identify what you like vs what you don't. The cabin loop has its charm but if you visit late summer before the trees turn it is a little drab. But recommendations here are also going to try to avoid difficult trips until you build up your triplogs. If you like out and back trips that go near streams, perhaps you might like Fossil Creek (with a permit) or Aravaipa (with a permit).
Hike Arizona it is full of sharp, pointy, ankle-twisting, HAZmaster crushing
Hike Arizona it is full of sharp, pointy, shin-stabbing, skin-shredding
Hike Arizona it is full of striking, biting, stabbing, venomous