Unfortunately there is no enrollee database in Record Group 35, Civilian Conservation Corps.
The rosters were (for the most part) destroyed as a part of a schedule to destroy according to the Federal Civilian Agency Personnel Records Monograph. However, we have had several researchers report to us that they find them here and there in project files or at CCC museums. Here's a list of all of the camps from this website.
Some regional NARA facilities have information regarding the CCC camps from their areas, also. There's just no record group or uniformity to where CCC rosters are found. There is sometimes a mention of members of the camp in individual enrollee folders or in the agency record of camp Supervisors/Educators/Leaders etc. but you'd have to start with at least one enrollee’s vital information. If the enrollee was a relative and you have access to their vital information, e.g. Social Security Number, date of birth, address at the time, the requesting process should be easier. Follow the link here for instructions.
If you are looking for records of activities, there are several options available. One is to consult Record Group 79, Records of the National Park Service (NPS). Within that Record Group is the series Narrative Reports Concerning Civilian Conservation Corps Projects in National Park Service Areas, 1933 - ca. 1936 National Archives Identifier 1142956 (catalog link here). According to the file unit list on the catalog there are file units concerning CCC work on Mount Rainier. Although you are looking for southeast Washington specifically, the series contains maps, charts, photographs, and textual narratives of activities so it may be useful in a broader manner.
Another NPS option is the series Project Reports on Civilian Conservation Corps Projects in State and Local Parks, 1933 - 1937, National Archives Identifier 1142954 (catalog link here). Click the green-gray “search within this series” button. The file units are arranged alphabetically by state and thereunder by project number. You may need to do a little more digging to determine if any of those parks are in southeast Washington.
Search around the catalog and you may find any number of good leads.
Without visiting a National Archives facility the amount of information available to you is limited. You may submit an inquiry via the NARA website and the reference staff will look into the matter for you. The more specific you are in what you want (topic, catalog information such as National Archives identifier, series name, and file unit name) more efficiently and completely staff can answer your query. If what you seek can be answered with less than twenty pages of documents, this route could work. If you wish to make a study of the materials available but cannot visit, arrangements can be made to copy a larger volume of records. This fee-based process will take longer. Click the link for ordering instructions. No matter how you proceed, submitting an inquiry is the best first step.
Alternatively you can visit the National Archives in College Park, Maryland. Personal scanners are allowed so long as they meet certain requirements. Consult the NARA website for a list of prohibited items. Photocopier/scanners are also available on site for a small per page fee. Smartphone and camera stands are available free of charge.
Best of luck to you!
Compiled by Alex Champion.