I think the easiest way to tackle the Dix Range is to start at Elk Lake and follow the state trail all the way through Hunters Pass and up to the summit of Dix. Follow the trail south to The Beckhorn. There is yellow paint on the rocks that will lead you back down to the state trail from The Beckhorn, but don't follow them! The herd path drops off the opposite side of The Beckhorn. Just orient your map with the landscape and it will be obvious which way you'll have to go. Hough is the one with the slides, Macomb is that distant one with the funny rippling top.
It's a steep descent off The Beckhorn at first, but scratches on the rocks will reassure you that winter hikers and their crampons have been this way before. Follow the herd path to the summit of Hough, then on to South Dix/Carson, East Dix/Grace, back to South Dix/Carson, then retrace your steps a short—very short—distance back toward Hough, and you'll see the left turn for Macomb, which will drop off the bare back side of South Dix/Carson into the woods in the col and then climb up Macomb. Take the path down Macomb, down the slide, then pick up the herd path at the bottom which should deliver you back to the state trail right near the Slide Brook lean-to.
I've done it twice this way and it's one of my all-time favorite hikes. First time was just under 12 hours, solo. Next time was a little over 12, I think, with a companion. She wore out the seat of her pants going down the slide, but you can probably stay on your feet. I did, (stayed on my feet, I mean, even when a bowling ball-sized rock rolled against my ankle) though it is steep.
Wear a hat to protect your head as you push through the brush which often blocks your view of the path. In the Hough/Pough col, go straight through the campsite. You may have to bull your way forward until you pick up the path again.