Using Google, look up the name of your town, province, or state with the words: cycling association or bicycle association or bicycle clubs or similiar.
Also, if you have a look at my Links page, the first three sections are long distance events and clubs, the next two are about touring, and then the next section is entitled:
Cycling Event Lists & Organisations. Have a look at some of the links in that section, they may give you some ideas.
http://www.machka.net/links.htm