Hello Christie,
We at the College Park Aviation Museum are in a similar situation. We don't have a ton of oral histories, but we do have some. We store it as basic files. We are lucky to have a large network drive and I just have the oral histories saved in a dedicated folder, clearly marked. I also have physical files for transcripts (if we have them), appropriate paperwork, and finding aides.
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Luke Perez
Curator of Collections
College Park Aviation Museum
College Park MD
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