Curt,
The 10,000 uF capacitor is a recommendation which appears to have originated with Xcom for use in the power supply leads to their aircraft transceiver. (See connection diagram
here.) The purpose is to protect the radio from voltage spikes which are produced by some alternators and other electrical accessories.
It's not likely to solve your problem, unless the path for the noise reaching the radio is through the power leads. Test this by temporarily powering the gauges from a separate, external 12V power supply or batteries, and see if the noise is gone. (8 AA batteries in series produce 12V, and Radio Shack should have a holder.)
The size of the capacitor required is inversely related to the frequency to be suppressed. Xcom is trying to keep very low-frequency spikes out of the radio. You're trying to keep VHF radio frequencies from escaping the gauges, so your application would require a relatively tiny capacitor. Something along the lines of a .01 uF, directly across the + and - leads right at the back of the gauges, would be plenty big enough, and you might be able to solder them directly to the PC boards inside the cases and still get it shut.
Putting a microprocessor-based gauge in unshielded plastic is poor design practice, especially for use near radios. If replacing them with better-designed instruments is an option, I'd do it.
Any chance you could bring the gauges separately to the meeting next weekend? If so, I'll bring a few things to try.