I've been using Belden 8057 for a while, which is a 34AWG solderable enameled wire. It strips easily with a 360C iron, and I've never had an issue with the melted insulation. When doing short bodges having to do any sort of mechanical stripping is particularly annoying. It's expensive at $75/spool (Wow, I don't remember it costing that much!), but it's a big enough spool that I'll never need to buy a second one.