I'm curious to know why you have rejected Terwilliger, which is the route that makes most sense to me. It's illuminated and wouldn't be heavily traveled at midnight. Ya just ride down and work your way north and east to the Hawthorne Br.
Second option: If you prefer Hamilton >Barbur, just keep going north on Barbur, which morphs into 4th Ave. Then work your way east to the bridge. Caution: watch yourself when you cross that Barbur-to-Front exit.
So, again: what's wrong with taking Terwilliger? If you are afraid of not being visible, you probably could even get away with riding on the pedestrian path (which, BTW, originally was designed as a bike path, oh so many decades ago...).