Wow, thanks for all that help, stabbs!

Calling them up and everything
I only notice the flicker when the screen's one flat color, especially the gray color in Photoshop, and it's where there are horizontal lines passing through it. I just checked, and I don't see it right now. The major difference is that I recently made the screen even darker. The Acer monitor is at the minimal brightness, and the graphics card options are at 66% brightness (default 100%), so the screen is quite dark. It's been that low for a few days. Used to be 70%.
That's great if refresh rate doesn't have to do with eye strain and only games, because then it's not an issue to me and I don't have to buy a new monitor and sell this one.
I just got confused by some peoples' statements in this thread, especially MafiaAce, who said:
"You are correct, on there being no such thing as constant latency... Depending on the colors being shifted it always varies. However that does not mean that refresh rate is a useless meaning, or that the refresh rate doesn't matter. In general, the higher the refresh rate, the easier it is on the eyes, and the less image tearing there will be during fast moving images. A higher refresh rate results that all pixels in general will be able to shift faster than at a lower refresh rate. I can most absolutely tell the difference from 60hz and 75hz, it is in no way an effect on the mind or a v-sync problem, in fact 60hz monitors actually strain my eyes relatively quickly. I can actually tell when a monitor is running at 60hz just by using it shortly, because it is obviously bothering my eyes. Furthermore, I also can tell the difference from 75hz and 85hz, though it is not nearly as significant. 85 is slightly smoother, but anything higher than that and it all feels the same. Remember that different people's brains and eyesights work differently, so some people may be more sensitive to a screen's refresh rate than others."
But my monitor's set to the native resolution (the others weren't nearly as crisp), and the brightness is very low (not too low), and I have the monitor set at the lowest level, so my eyes don't have to strain more by looking up instead of down. I also do everything else I've heard, including making sure the contrast is okay, making sure the room lighting is good, avoiding reflections, and even closing my eyes for 5 minutes every hour.
The monitor isn't blurry, though. I just assumed from things I read that the refresh rate matters for LCDs. But I don't view moving images. Rather, I'm basically working in Microsoft Word all day.