Greetings Bill..
Regarding: "I am skilled in electronics and do have experience with HV systems, I just do not know where to being looking...."
I suspect that you meant BEGIN looking..
First and foremost, this has nothing to do with an EEPROM or a microprocessor.
Interesting.. One of the first things almost any school teaches (trade school, 2 year junior colleges or even the universities) is about video systems. In regards to electrical circuits and theory, it's a good place to learn about oscillators, amplifiers, deflection both vertical and horizontal, power supplies etc. Even though our video sets are changing, the theory behind the above circuits still applies..
As illustrated in many a fix-it-yourself softbound books still on the shelf regarding TV repair, this is a vertical oscillator/amplifier issue. Now days, both are usually in an integrated circuit with polarized electrolytic capacitors hanging off the IC. Since the IC tends to get rather hot in many installations, an initial inspection of the IC is a good idea. I've recently fixed a JVC with intermittent vertical deflection issues by merely sucking up the old solder (Soldapullt) and re-soldering it with a clean soldering job on all pins, then removing the residual flux with alcohol. The TV is still working years later now.
In addition, I've got a 25" stereo color TV that was given to me by someone at work with the same symptoms that you describe, bright horizontal line (in the middle of the CRT) with no vertical deflection - sound is A-OK. It seems that the previous families kids liked to push all the front panel buttons real quick - including the on/off button - unfortunately.. The first thing I did was call Thompson and order the schematics for the TV. Sure enough, the vertical oscillator/amplifier IC was shot. Once replaced, the video folded over at the top of the now full deflected video image. Why the folded over image, defective polarized electrolytic capacitors. As I seem to recall, there's usually a 33ufd capacitor (amongst a few others) that are highly suspect. How to determine for sure, an ESR (Equivalent Series Resistance) checker will determine in two shakes which electrolytics are bad. Since the electrolytics are relatively inexpensive, you can always shotgun with about 5 or 6 around the IC, but - obviously, measuring for the defective component(s) is always preferred. Once the IC and the capacitors were replaced, I've been enjoying that free stereo TV ever since. The picture is now beautiful and, prior to doing the 'fix,' I cleaned out the cabinet completely and got rid of the dust & spiders. They had put it in the garage on the floor..
Cheers, Mr. Mentor