To save time, you can do this achievement and SPECIAL DELIVERY simultaneously. Basically, set the needed deliveries to 5 and start delivering them. Once you deliver your first Disruptor, any time you get close to the opposing base, turrets spawn and attack the character you're controlling. If a turret hits you, you lose the Disruptor and it still counts. Furthermore, both achievements count for both players on the same profile.
I can personally confirm this method works because it was how I unlocked both achievements.