Not a guru. Just my opinion.
Your antenna system is probably not balanced. (pretty tough to do on a kitfox)
The antenna is a series circuit so the current on each side (the whip and the ground plane) have to match and to do this your coax shield is probably an active element in the antenna system.
Besides being an annoying signal on the sense lines of the ammeter it probably isn't all that good for your radio. (although they can deal with some reflection)
A tuned ferrite toroid is a good idea. I would put it on the coax as near to the antenna as I could. Each trip a coax makes through a toroid will remove about 90% of the common mode signal (the reflected part) and none of the differential mode signal (the part you want to get to the antenna). to get 99.9% of the reflections removed you could wrap the coax through the same toroid 3 times or put 3 toroids in a row (maybe a 1/4 inch apart so they don't act as one detuned toroid.)
THat's what I would try, 3 toroids on the coax near the antenna. Use shrink wrap, hot glue, rtv, electrical tape to fix them so they don't move about and make sure they are supported so as to not add strain on the coax run. I have seen them for sale on the MGL web site.