Met the CG host in Haines. The only bear 'weapon' he carrys is a compressed air boat horn. It produces a nasty amount of noise that bears, or anything else for that matter, don't like.
Why carry a gun unless going on a hunting trip? If one cannot follow Canadian gun laws the I guess there will be no driving through Canada. The Authorities could not care less how responsible you claim to be. Millions travel through Canada & into Alaska every year without guns. No issues.
As far as carrying the bike goes, you might want to consider leaving some of your toys at home. Alaska is a land of quiet touring bikes which do not scare animals away for miles around. BMWs & other such cross touring bikes are the common sight. A noisy Harley is a rare & very unpopular sight with those who are here to enjoy the stunning scenery & get a glimpse of wildlife.