There are tons of loops you could do.
From Hite, go up into Dark Canyon and the Needles, cross the river (only logistical hurdle) and go through the Maze into Twin Corral Box (or another nearby canyon) and finish by going south down the Dirty Devil.
Start the Hayduke near Jacob Lake, hike through the GC to Kanab, up Kanab to Fredonia, hitch back to the start.
A bunch of loops are possible in the Escalante. Boulder mail trail over the the river, down the river, back using Allen's overland route, up the Gulch and/or Boulder Creek to the start.