just a few things to add to the thread, hope im not too late. (as in, i hope you havent gone to too much trouble and expense yet)
first, driving ground rods into the ground isn't going to help you one bit, unless you get struck by lightning, and even then, they are not going to stop your RV's electronics from being destroyed.
your problem stems from the way the A99 works.
Ever seen the old ads for it where they say it's a "half over a quarter wave, mutual transductance tuned antenna" or something like that?
well what they don't tell you in the ads is that the "quarter wave" part is made up of the first 8.5 feet of coax coming out the bottom of the antenna.
so if you put a choke right at the feedpoint you are changing the characteristics of the antenna design and probably upsetting the pattern. on an A99, the choke should be placed 8.5 feet down from the feedpoint.
with an antron, you need to get the antenna up 10 feet or more above the roof line, and put ferrite on the coax 8.5 feet down from the feedpoint.
which brings me to my next point. wrapping coax into a coil is not the way to make a choke. there is a diagram with lots of colors on it that has been floating around the internet confusing people for a decade now.
the purpose of the chart was to show people how much worse coax wrapping was than using actual ferrite over the coax, but everyone misinterpreted it to be a chart showing you how much coax to wrap.
you can buy kits on ebay that include 5 or 6 snap on chokes, and this is the right way to make a common mode choke.
after that, since it's an RV, you might want to make sure that the metal case of your stereo is actually grounded to the vehicle body/frame.
also make sure your radio is not a splatterbox.
hope this helps.
LC