I don't know if you've had a chance to watch the previous blog post that had the video footage of Trent at the Ceremonial Start?
The TV announcers mention at the end that Trent's beard makes him look like a ZZ Top guy, and that Gillette had once offered them $1M to shave their beard... then wondered if maybe Trent would take such an offer?
I can't speak for Trent, I suspect he would, but I know he shaved it for charity back in 2011. That was the year Trent was 1st to the halfway point, Most Improved Musher, and 25th overall. Trent-mania was at a mild boil back at the Community School where he teaches.
At the annual charity auction, someone asked Trent "How much do I have to donate for you to shave your beard". Trent replied "$50,000". The paddles started going up, and they eventually raised $85,000 for the school for Trent to sit for the razor.
Article from local newspaper way back then, covering the event. The pictures below are real small. It grew back pretty fast, sure $1M would be an easy decision!
http://archives.mtexpress.com/index2.php?ID=2005136202#.VttZhvkrLuo