The problem is that judges are inundated with applications. You will need to package your application in a way that makes the judge take a second look. Strong letters of recommendation represent one way. Other factors such as law review and work experience help. Finally, a time-consuming, but effective, approach is to personalize the cover letter.
Judges react favorably to personalized letters.
Read some of the judge's cases. Most applications are sent in January of your second year. Information on judges or justices in Denver can be found in the Career Services Office. You can also talk to Professors Jay Brown, Fred Cheever, Martha Ertman and Alan Chen, all of whom are former judicial clerks.