I guess you are looking for a tallow based lubricant. We use that but primarily on bearings that are exposed to high temperatures. It is drawn to the hot spot unlike petroleum based which disperse from the heat. That stuff is as thick as all get out and sticky to boot. I wouldn't want it anywhere near my bike. Have you considered using lard? That is tallow based and not quite as thick. It would smell to high heaven on a hot day though.
torgrot