A lyretail would be fine. I have considered it. Anthias actually aren't like tangs where they need the swimming room.
I'm going to disagree there. IME lyretails need lots of room. The males especially get big, and shoot around the tank after the females. Mine looks cramped in my 4' 150g. How about a fathead anthias? Those are very attractive, don't swim around as much, and are fine alone...