Okay! So, no projector programs will work without Java - and with the website admitting to a lawsuit about security measures, I'm just not going to risk downloading it. That being said, the other projector software was something called "Flex Projector". It needs Java, so I'm still out of luck with that.

However, I did figure out I can use Photoshop to wrap my map around a sphere. While it's probably not as good as G Projector, I figure it's a pretty good start to see distortions and the like.

EDIT: @Mouse
That happens - see, I can download G Projector just fine. It's when I go to run it that a pop-up from my computer says it's not going to run the program due to the program putting my computer at risk. Couple that with the above that I just said about Java, I'm very uneasy about downloading it.