Hmm, A touring bike with the power of a 250? (if its healthy). What's the frequency of your noise?
Actually, if you're in no particular hurry, then a well-fettled "Iron Belly" Bullet is a superb little tourer, if you're doing it right. For me that means firing up Google Maps on the phone, choosing the "Avoid Highways" option and then choosing the "squiggliest" route option presented that keeps me away from big towns. Then just burble along in the 50s. Mine has a couple of "sweet spots" at about 54 and 59 mph where the vibes are mildest and the tappets just sing happily along. A pair of Bluetooth headphones, and just let that nice lady tell you what to do. Happily married for 22 years, so I'm quite used to having a nice lady tell me what to do. Seriously though, flicking it around on a tidy little twisty 2-laner like I am today, I sometimes wonder why anyone would ride anything less "elemental".
That Avon fairing might be a minor burden to tug along, but he'll be happy for it when the rains come, as they do.