I'd say no to the Scrambler and frankly don't think Triumph makes a bike that currently fits your bill. I ride a Tiger, and I plan to ride it to Alaska, but I'm not gonna stray far from the AlCan. Certainly wouldn't take it off into the Provincial parks for back country camping like I did with my Bronco.

I'd say look at the BMW F800 GS. If that's too steep, take a look at the KLR650.