Our trip to Gannett was successful. There was indeed a snow bridge lodged in the bergschrund but the upper headwall was slightly overhanging at the lip (but doable) and I didn't consider it a viable route for my party. There was also a fixed rope that I considered clipping a Tibloc into, heading up the headwall, and belaying the rest of my party up, but decided against it; not knowing the condition of the anchor. It turned out that the anchor was two half-way melted out snow pickets. Another party shored them up and used this anchor to descend that day.
I considered two routes up the rock, and the route about 10 meters climber's left of the 'schrund was most easily accessed over the moat and it climbed to an existing rappel anchor. Be careful for lose, wet, and icy rock. We pitched out a single pitch then scrambled up to the col. We descended via two rappels the same way we came up.
There are other possible routes up the rock to access a ledge system leading back over to the Gooseneck Couloir. Free/aid climbing these are definitely possible if the rock route we climbed is no longer accessible.
The other party was successful on the same day via the Southeast Couloir. They said they had to negotiate numerous crevasses and jump over at least one, uphill. They also said they encountered a dicey snow bridge.
I'd say the easy routes up are out for the season but the mountain is still climbable depending on experience, skills, etc.