I think you need a 3-speed or single-speed to get the clean look. I'm probably going to wind up selling this because I'm fairly deep down the rabbit hole now

and I really want to do a genuine vintage build. Start with a 30s/40s bike like this (this particular one would be way too nice to chop up) and use all period components - seat, spring fork, etc. These are going for $400 and up. But I think something could be found for a fraction of that with time and luck. Ideally, something with a nicely patina'd frame with some light corrosion here and there.