Well, mystery solved, seeing as I own it now.
It's a "Bridgestone Wildwest." It's definitely a lower end bike. Supposedly the original owner had it imported from Japan. I may have overpaid at $85, but it was clean and everything works properly.
I'll probably just use it as my "MUP bike" for pulling my daughter around in. It's got a different front wheel because the one it came with wasn't quick release, so I put one on from my old mountain bike.
The "Wildwest" decal is pretty cheesy. That might have to go.
The fork worries me a little. It doesn't appear to be original and it seems cheap.