Gulley is nearly dry. See pictures. A small snow patch low that might require some traction early morning (e.g. microspikes, ice axe). If later in the day, hiking sticks should work. Outside of snow, the gulley is ALL loose rock and scree. Not a steep climb, but nothing is firm for footing or grabbing. In my opinion, I would summit Sunshine first, as the gulley is easier to climb than descend. Doing the loop is much more fun than re-summiting Redcloud Peak. Of note, an avalanche debris field obliterated the trail just after the turn-off from the main trail. Just follow the creek as best as you can to reconnect with the main NW Face trail. Have fun and be safe.
Photos (click for slideshow):