In Daphne Fautin and Gerald Allen's book, 'Anemone Fishes', they claim that host species for the Domino Damsel are the following:
E. quadricolor, H. aurora, H. crispa, H. magnifica, M. doreensis, S. gigantea, S. haddoni, and S. mertensii.
I have heard that they prefer the carpet anemones if available, but my old damsel used to host a BTA and I've never tried one with a carpet.