If the level of cover is getting that low and the CAA are getting concerned help them out. CHIRP is confidential and I am quite sure "trends" are reported to the CAA. You wouldn't be landing yourself in it, you would be highlighting a REAL problem. Like we keep saying, as long as the aircraft are all servicable in the morning, the bean counters don't see a problem, we all are aware our jobs are getting like the swan analogy. All seems calm on the surface......
One avionics to cover a couple of C checks is stretching anyones imagination of "A suitable level of licence cover for the work planned". Its sods law at our place, that when we are under manned, everything comes in servicable and when we have a lot of guys in, there is a hugh work load. There are lots of avenues open to show the powers that be we are at crisis point or very near, use them. We should then be better paid, less stressed, but more importantly able to do a better quality, SAFER job, which i'm sure you will all agree is the main thing.
For you guys outside the UK, CHIRP is a confidential reporting method for anything to do with aircraft safety.