I was up there on Monday (June 14th) for a day hike. We had pretty good conditions on the snow chute (i.e. - fairly hard and stable on the way up and soft enough on the way down).
Here is our basic timeline: We got to trail camp at 7am, took a 30 minute break, and headed up the chute. We were at the top of the chute by 9am or so and then took another 30 minute break. We hit the summit at 11:30am, left at noon, and were back at the top of the chute by 1:30pm going at an easy pace. We descended the chute around 1:45 or 2pm and conditions were such that one could glissade safely or step down (we had crampons on when we were not glissading). The sun was still on the chute. Another friend of our descended at 4pm and was still able to glissade part way. Our basic approach was to descend the steepest portion by walking with crampons on, then traverse over to the area away from the rocks that gives you a good run-out, take off our crampons, and then glissade.
Hope that helps.
Dan