This map was found at the Kerouac Corner of a website called www.wordsareimportant.com. Apparently it's from one of Kerouac’s own diaries, shows the itinerary of a trip from July to October 1947, much of which would later serve as the backdrop for ‘On the Road’:

New York City, Chicago, Davenport, Des Moines, North Platte, Cheyenne(DenverCentral City)Laramie, Salt Lake, Reno, San Francisco, Madera, Fresno, Selma, Los Angeles, Prescott, Albuquerque, Dalhart, Kansas City, St Louis, Indianapolis, Columbus, Pittsburgh, Washington DC, New York City