I have put trailer hitches on exotic sports cars so owners could pull a small trailer for fuel, tools and racing tires so you aren't the first to find yourself in such a pinch. A custom RR frame from a great name like Marinoni or the others with a special lug on the drop for a hitch and a special tube selection to suit the intermittent loads would be off-the-charts cool in my book.
I had some friends that did what they called "credit card touring" using racing bikes. The idea was to ride shorter brisk rides from hotel to hotel, purchasing what was needed while underway.