How do you prevent eye strain while playing video games?

I know this is probably a repeat question but this is under different cirstances then any of the questions or answers here or anywhere else I have looked. I work as a video game tester and a huge problem I have is getting eye pain. Everyone suggests taking breaks to get your eyes off of the screen for a little bit but that is not an option for me. The rules are very strict, breaks every 2 hours, and only a few of the methods they use for testing (there are tons) give me a short break to grab a coffee or something. When I can do this I will usually take 1-2 "coffee" (aneurysm prevention) breaks in between each (coffee, fresh air, smoke, hackey sack, bathroom) break but I don't get these kinds of testing sessions very often and usually by the time lunchtime hits I get this feeling like something is pushing behind my eyes and it really hurts. I'm used to playing video games for 8 hours a day or more (it was one of the requirements of the job) but I usually take breaks every half hour or so to eat, walk my dog, go to the bathroom, something that gets me away from the screen. I don't have that option here. Is there anything I can do to prevent getting this intense eye pain every time I go to work, or at least alleviate the pain once it hits?