Sounds to me like one of three things is happening if the FC is being primed right away,
either you have a spy in fleet / on coms
your FC's are too well known to whomever your fighting
your FC is standing out or in a high priority ship (eg Hac in T1 cruiser gang or is flying dictor/recon)
1 and 2 are quite possibly related, even more so if you are going up against the same groups day in day out. There isn't much of a counter as from experience I can tell you a good spy is the last person you thought it was. You best bet here is for you FC to either be always locked by logistics and on everyones watchlist or to have an alt in fleet as standby.
Of course the best solution is to make sure you have a backup FC.
There are two reasons why FCing from a covops in general doesn't work.
Firstly as FC you need to be able to lock your targets in order to know when to keep applying dps and when to switch targets.
Secondly regardless of how tight knit a corp / alliance is... people will start to question orders given from someone who for whatever reason is not putting their isk on the line.
Remember, stay vigilant (someone on coms but not in fleet? someone in fleet but not accounted for? KICK THEM)
Blend in (Similar ship to the rest of the fleet)
Have a backup, either another character you can switch to or another FC in fleet.
