The Careers in Law Teaching Program is set-up primarily for those interested in tenure track positions at law schools. However, some are interested in teaching as adjuncts, sometimes on a part-time basis, while they are still in practice or deciding to enter the academy full-time. Many people find that very satisfying, though the process of applying is completely different.
You must put together a detailed description of the course, with readings, and then submit it to the dean in charge of adjuncts. Here at Columbia, it is Dean Avery Katz. All the schools in New York use adjuncts, and we suggest applying widely as the process can take a year or so. We run a series of workshops for those interested in teaching and in past years we have had one for people who want to adjunct teach (please review "Workshops" page).
Columbia Law School also uses practicing lawyers in the Legal Research and Writing Program, and that too might be of interest to some. Ilene Strauss is in charge of that program.