Randonneuring is long-distance unsupported endurance cycling. This style of riding is non-competitive in nature, and self-sufficiency is paramount. When riders participate in randonneuring events, they are part of a long tradition that goes back to the beginning of the sport of cycling in France and Italy. Friendly camaraderie, not competition, is the hallmark of randonneuring.
the most famous randonnee` is paris-brest-paris which was First run in 1891, although this may be the goal of some randonneurs, i is not the only brevet available to individual wishing to 'compete'/complete longer rides. locally there are a few brevets that run out of the rochester area. look it up, there are rides scheduled for this spring and summer.
here's a couple of links i found on the RUSA site for randonneuring in MN
http://rasc.multisportsystems.com/page/show/7540
http://biketcbc.org/randonneur/index.htm