Novadrome

This is fairly straightforward. Pick your vehicle with the best attack and defense stats (mine was Pummeller but you might have to play a reasonable amount of the campaign mode to unlock that one) and choose whatever map you feel most comfortable with, it doesn't really make much difference.

If you've played more than a few rounds of the campaign then you should be pretty familiar with how Wrecking Ball works. The goal for this achievement is to wreck as many other players as possible without getting wrecked yourself which obviously requires a good mix of offense and defense. Arcade Challenge finishes after 20 wrecks so if you can get at least 6 or 7 you should stand a good chance of having more points than any of the other players by the end.
To avoid getting wrecked yourself make sure you keep an eye on your health at all times, make a beeline for repair powerups and robots whenever necessary and don't ever stop moving: the AI love ganging up on the player in 1st place so if you stop or get stuck against the scenery they're likely to pile up on you.

As with most of the mode-specific achievements there is a lot of luck involved as the AI are very unpredictable so if at first you don't succeed keep trying and you will have a good run sooner or later.