The more interesting books tend to rely on rules the god itself operates under, not just brute force. A lot of authors dig into weird metaphysical concepts—like, the entity can't perceive a mind that's truly empty, or it's bound by its own symbolic logic. In 'The Library at Mount Char', characters survive by learning a specific, horrifying catalog of knowledge that changes their nature entirely, making them partially exist outside the god's frame of reference. It’s less about hiding and more about becoming something else entirely, something the monster can't digest.
There's also the classic route of accepting a terrible bargain, becoming a servant or anchor point in the mortal world. That survival always comes at a cost that hollows out the character, turning them into a different kind of monster. I find those endings stick with me longer than any triumphant battle. The character might live, but the person they were is utterly gone, which feels more true to the genre than a clean win.
A less common but fascinating method is exploiting the god's alien senses. Maybe it only notices patterns or intentions, so acting with pure, chaotic randomness or total, unthinking instinct lets you slip through. It’s a logic puzzle with cosmic stakes, and when it’s done well, it makes the survival feel earned and terrifyingly clever.