In the second-season finale of the Justice League animated series Starcrossed (last 3 episodes), the Justice League (minus Hawkgirl) was captured by Thanagarians. But they managed to escape the prison ship and decided to stay hidden until they came up with a better plan for freeing the Earth from Thanagarians.
They changed themselves to their secret civilian identities and split up into groups of two. Then they decided to meet in the Batcave.
Why did they choose the Batcave, which was a known place to Hawkgirl? The Justice League knew that Hawkgirl had betrayed them. They knew that she had revealed their weaknesses to the Thanagarian military and given them the access code of the Watch Tower.