If you passed up the training "new recruits" or even have a crappy connection with lag issues like me, I found the Crash Site game type to be pretty good in obtaining the top score. Choose Crash Site and Solo. Solo type places random people in teams who aren't already in parties/squads, which are more cohesive in the other game types. In this case, since they are not teamed up with others it may a be a bit easier to score the highest on objectives as others tend to do things on their own.
This is an objective game type so you are mostly going for the highest objective points for the achievement. A Ceph ship will appear and you should be able to follow its movements flying above the map to predict where it will drop the alien pod. When it does get to it quickly so you can earn the points early while your teammates come and help or before the enemy locates it. You get 30 points every couple of seconds while within the radius, either hide and cloak or defend it. After awhile the pod will give a warning when the points for that pod are used and explode, then another Ceph ship will appear and drop another. When a team reaches 150 points the game will be over, hopefully you were one of the first to the pods and stayed within range for a good duration of the time.
Crash Site only factors highest objective score, go for the points! Good luck.