So it seems pretty definitive. Are there any typical things to check out on this bike before I hand over the cash?
You could check things over if you want, but you aren't going to find any other Bullet for cheaper than that. Mostly any you'd find for that price would be dead or basket cases.
Just assume everything is broken, and go get it, and fix the things that are wrong.
You are way ahead of the game that the bike even runs, at that price. And that you don't have to pay $700 to ship it across the country, to get it.