It took me about 20 minutes to figure out how to remove the end caps, and about 5 seconds to remove the other one once I figure it out.
I think the best thing you can do is take a very small flathead screwdriver and try to wedge it in between the end cap and the hinge. Then, just gently and rhythmically rock back and forth, prying up more and more each time.
I was able to remove both end caps with only a couple scratches on the paint near the edges. But hey, cosmetic wear is worth it if the display works, right? ;)
Thanks for the help, guys!