So I summited the Mountaineer's Route on Saturday afternoon and descended the Main Trail. Hopefully I can shed some light.
For Mountaineer's Route: -The chute still has about a foot to a foot and a half of snow in the middle of the chute. We went to the right of the chute and it was fine, but there were a few sketchy icy sections. We had to traverse at one point over the chute, so we definitely needed our ice axe there.
-The Final 400 had a bunch of snow on it still. We started in the middle and there was a layer of ice on the whole shelf. We took the right side of the left chute and there was enough ice/snow to make it very precarious. Didn't feel comfortable downclimbing without a rope to belay, so we took the Main Trail down.
For Main Trail: -Still lots of snow from the summit down. Definitely do-able with just microspikes or just poles. The switchbacks down from Trail Crest have probably 1-3 inches of snow but its packed enough to easily get through.