Track down people that have climbed up there. I'd ask Mark Synott, some googling should get you in touch without too much stress. Seems like a cool guy who would share info he has and point you in the right direction. You'd be amazed who will help you out if you're psyched and serious.
Pangnirtung is the closest town to fly into before the two week hike into asgard. Before that most people fly into Iqaluit. Its about 3000 dollars round trip. As far as the beta I would hope that your going up there to explore and not repeat routes but if you go here blackdiamondequipment.com/en-u... and blackdiamondequipment.com/en-u... here. You should be able to find some good information to get you started. If I had the money I would love to go!!!!
Contact Doug Dickens @ email@example.com. He established the route "The Experience," with Brian during a Geology Expedition to determine the age of the major formations and the amount of time that they have been released by the glaciers there. Groundbreaking work.