Salty, it's really tough to say. So much depends on the temps higher up. Last year there was a lot of concern in June about snow and ice impeding the trail till deep into summer. Temps soared in the latter half of June, however, and by July 15th the MT could be negotiated pretty easily in lightweight hikers, though caution was necessary in some areas. Quillansculpture and I were up on the mountain the 14th and 15th last year, and the only substantial snow on the trail at that time was between Consultation Lake and Trail Camp, at the cables, and just below the summit.

That said, I don't recall it snowing regularly into June last year, and I think the overall moisture level on the mountain was lower than it is this year. I'm in the same boat as you, heading up on 7/20, so I'll be watching condition reports really closely. I'm pretty sure I'll be packing the micro-spikes for the trip.