15 bomber filled carrier cruisers will help you rape Kodiak spam. Don't bother escorting them, make them a fleet of their own. Jump them in after your attack ships and disablers have tied up the Heavy Cruisers. Make sure the carriers have a hold position order so you can move them out fast if the HC's come after them.
You still have to work your disablers correctly, but the bombers will pop the enemy faster so you're less likely to have antimatter problems.
I can't speak for the other races, but if you have 10+ Subverters you should be able to stun an enemy fleet almost indefinitely without running out of AM - Distortion field is not a hard ability to micro - make sure you disable the autocast on their shield degradation ability as well if you really want to conserve. It only takes one subverter to put down a huge chunk of bunched up enemy ships, your other subverters can just sit there waiting for their turn. By the time you've worked through the subverter group - the initial disablers should've both cooled down and regained much of their antimatter - so you can start the process all over again.
Manually triggering shield degradation on the ship your bombers or assailants is attacking helps efficiency, it only takes one subverter to get the effect's maximum benefits.
But we don't know what race you're using anyway.