there is no such thing as a docile non-moving anemone. they ALL sting, and they ALL move at will. the only one that comes close to non moving would be the rock anemone and clowns wont host it and it'll kill corals when it decides to move. (mayeb a carpet I dont know much about them but they are fish killers)mine(rock anemone) usually sits in one place but I have had it blaze through a patch of polyps killing them all. thats a risk we take keeping anemone in reef tanks.
the only docile non moving anemone would be a rubber one.