This is such a big country Jane, where to begin...
1st off, I don't know if there are any dealers that rent Triumph's but I do know that a lot of Harley dealers rent bikes. 3-4 weeks would cost you a fortune. Might be better off to buy a bike and sell it at the end of the trip. I've heard of people doing that. But as far as places to see....too numerous to mention.
