Your "rheostats" or volume attenuators as they are also called is an analogue device made up of a contact or stator and a sweep that allows more resistance to be applied as you turn down the volume. They are actually working their hardest when you turn the volume all the way off. They can and usually do get corroded even in a non marine environment. Radio Shack also sells an aerosol spray of what is generically known as TV tuner cleaner spray. Comes in a can with a straw for concentrated pinpoint application. Remove the volume attenuator from the mounting surface and spray pretty liberally on the backside of the volume "pot" into any opening. It should have small holes in the canister that contains the volume control elements while turning the volume knob all the way from off to wide open. You can do this while playing music softly and should be able to hear the static go away as you clean the device. If not, PM and we can track down alternate culprits. But I think that is your issue.
Randy