Apparently, it's not a giant, mutant insect.
It's just a dobsonfly. Thanks to Thomas for pointing me in the right direction when he suggested it might be a brown lacewing. It's got the right wing make-up, but the wrong size. Brown lacewings get to about a half inch; this thing was about 3 inches long or more.
This is a female dobsonfly, based on the size of it's pincers, and they can break skin and draw blood. While their bites can be painful, they're not considered dangerous.
I also came across this nifty site to use when trying to identify an insect. What's That Bug? has a wealth of pictures. This link shows their dobsonfly page.