Not too many spectacular slots near moab that I am aware of. There are a few tributaries of Mule Shoe canyon (I believe Black Canyon) that have a single rappel to the floor. Dropping off of hatch point are a couple of nice, very steep canyons. Itchy and Scratchy (Itchy's north of scratchy, and starts near the 5939AT mark on the 7.5 topo)canyon's come to mind -- 2 large rappels with a section requiring a hand line. The problem would be hiking out of Lockhart Basin (there's an old 4wheel trail that's in pretty rough shape up scratchy canyon), or getting in there with a car shuttle. I am sure there must be a few tight slot canyons, but non come to mind in this region.
Tom's canyoneering page offer's some good beta on the swell to the west, or the white canyon/cedar mesa region to the southwest.
You're going to need some pretty stout water gear if you plan on any of the west slots (Eardley, Black Hole, Black Boxes, Cheeseman, Gravle etc.) Perhaps your best bet would be some of the drier slots in the escalante, but that's pretty far from Moab.