One thing you could try is making a steel shield for each antenna. I used a 1 1/4" (double check this diameter) steel pipe section with a cap that was just long enough to cover the antenna. With the pipe shields in place, it will tell you whether the noise is referred to the antennas, or is back-way (via power, grounding, etc). If the noise disappears with the antennas shielded, then the rest of the system is OK and it really is getting into the antennas alone. Of course, this is just a test. It eliminates the desired lightning signal along with the noise.
I found that my noise floor on my 6.8USB system was quite good and all the noise was being picked up by the antennas.
It might help isolate the problem.
Greg