I found the shell a little bit south and west of the location of the flagpole in this old photo of the Manzanar relocation center in Owens Valley, California:

Based on the above, the shell was most likely spent sometime after the camp closed. It was ordered closed by the government November 21, 1945, and took two years for all of the internees to relocate and most of the structures to be removed.
There were some forced evacuations: most of the people there had nothing left after the war and had nowhere to go. ( Maybe it's little surprise that the government didn't really give the people there enough money to relocate and have enough money to survive the year? ) So, a few families were removed by force.
Nonetheless, the entire story of internment at Manzanar only accounts for two of the sixteen years that shell was manufactured. So, just probabilistically speaking, the shell very likely didn't come from the forced relocations.
During the other 14 years, the site was used as a veteran's hall and road maintenance shed. The surrounding county has always had some local presence as well. The field to the south had several, spent shotgun shells from post 2005, for example.
Thank you again! Best regards.