You go, girl! I've been in similar situations.
I hate hate HATE palmetto bugs and there was one in the bathroom in my last apartment. I freaked out but had no one to call (and it was the middle of the night!) and I finally cornered him behind a door with hairspray. I used two whole bottles but finally got the sucker.
Yes, I'm a murderer. But no complaining if you weren't there to save me.