Exactly what I used and wonder why the OP didn't. I'll comment at the top.

Ease of configuration, I think? I don't remember my gripes with fcgiwrap exactly.

I have used it and I've even made PR for it which led to a response from the lighttpd maintainer: https://github.com/gnosek/fcgiwrap/pull/62

Essentially I wanted fgciwrap to be able to accept arbitrary response bodies without headers, so I could use it with programs that weren't actually made for cgi. Lighttpd supports this but apparently that's an happy accident.