Updates:
In a fit of desperation, I tried the "patching" method to view the T.V. Although this worked, it still did not resolve the issues entirely (still had mild-moderate eye cramp feelings but zero dizziness) and it's not exactly a sustainable or optimal way to watch T.V.
Just as I was getting ready to send the T.V. back, I made a bit of a breakthrough in terms of eye comfort for viewing this T.V. I found out that "filmmaker mode", much like "game mode" turns off ALL picture and motion software. Filmmaker Mode is apparently a collaborative effort by filmmakers, Hollywood studios, consumer electronics companies, and something called the "UHD alliance" to create a setting that most closely represents the filmmakers intent in terms of picture. Also, through a calibration guide I followed on youtube, I enabled the "Warm2" color setting, as the youtuber claimed it has the truest color accuracy. What I discovered was that, for whatever reason, filmmaker mode combined with the "warm 2" color setting virtually eliminated the dizziness, headache and eye cramping I was having with other settings. I would say it was about 80%-90% gone, but not 100%. I felt some slight eye strain in my dominant eye, but after 2 hours of viewing the TV I did not have a massive headache or constant mild dizziness as before.
I followed the same youtubers settings for game mode as well, and it seems to help, though motion in games still has a much more straining effect on my eyes, but I still did not get headaches or more impactful eye strain as before. It's hard to tell if the dizziness was there, I think it was with gaming, but again much more mild.
Unfortunately, my wife had some issues (frozen on HULU) with the TV this morning and said she "restarted it". I found myself having eye strain when looking at the TV, but discovered that the TV switched HDR mode back on automatically for some reason. So, this is a problem and I am not entirely sure how to resolve it at this point. I still need to do more testing with these new settings, but it's a promising direction at the very least.
On another note, these experiences have galvanized me towards getting re-evaluated by a BVD specialist. I am lucky enough to live close enough to U.C. Berkeley that I can be seen by their binocular vision therapy and rehabilitation team, which are apparently world class. I understand they have a very intensive eye therapy process and understand that nuances of BVD and it's many permutations. They guy on the phone understood my problem almost immediately, so that was a new and welcome experience.
Will update on any more progress.
Links to resources:
Film Maker Mode: https://filmmakermode.com/
Youtube Calibrations: https://youtu.be/BkHF1ThGB-E