An exceptional way to get XP currently is to play Capital Supremacy. I regularly hit 50,000 + points and here's how:
Play as the Tank.
The A.I bots are braindead and will sit there and die. Most casual players have no idea how to fight you. 100+ kills is easy for a middling player like myself, topping leaderboards. It gets heated if someone else has the same idea, but usually you can just run around destroying everything. Even better is if you manage to defend your ship, because then you get a whole new wave to do it, getting ludicrous scores. Post your tips with this method down below.
(P.S for the time being, until they patch it soon, you can get points as an officer with the presence starcard in a vehicle which is B R O K E N. Up to you to choose to get cheap points or not, tank is usually more than enough)
Here's me proof: