BREWSTER — A nonprofit group that includes former employees and alumni of the iconic Cape Cod Sea Camps is hoping to raise enough interest and money to buy the 125-acre property and continue to run it as a summer camp. “Pretty much every member’s life was touched by the camp,” said Jim Fay, president of the Brewster Flats Foundation, which formed in December in response to the announced sale in November. Fay and his wife, both teachers at a private school in Deerfield, have owned a home in Brewster for 10 years. They met at Cape Cod Sea Camps in 2004, when both were camp counselors, and worked there every summer since.