Just got back from a quick 3 day trip from Kearsarge to Portal. The switchbacks are open & clear with only a few small patches here & there. The chute could be doable, but you'd have to traverse over a small boulder field to get to clear snow. Here are some pictures from Wed, 6/11:
Switchbacks from 1st keyhole:
Trail crest:
Chute:
Cables:
