Ever consider the Sturmey S3X? It's not perfect, but it does give 3 different fixed gear ratios. I got complete wheelset from bike island for 199 shipped. The internals is the old school unit and problematic shifter, but a quick email to SA customer service and a few days later and they sent a new shifter and internals no charge. I probably have 1500 miles, all trouble free on the setup on a few diff bikes. Ugly as sin, but does give 2 very useable gears and one kind of usable gear. It is heavy, but reliable when setup properly. I'm 230 and I've had no issues at all. Looking for a fitting quality 80s/90s road frame to give it it's forever home. I feel that era might provide a platform that will play nicer with the wheelset.
https://bikeisland.com/cgi-bin/BKTK_STOR20.cgi?Action=Details&ProdID=1708
I considered the 2 speed for clean lines, but the versatility that added brakes provide superceded the asthetics.
Excuse lack of bar tape, I'm notoriously indecisive AND cheap.
