Preface to this, I do not have much skill in fighting games and I use an Xbox controller on my PC when playing through these kinds of games.
Getting the points I went with Billy Kane, the rocker who uses a staff, and used his longer reaching attacks. I would jump in using a Y attack and follow it up with a crouching Y attack. If you run into trouble and have to make multiple runs at this achievement, I suggest changing up the opponent you fight first. That helped me deal with some opponents I found more difficult the further along you fight them.