Hi! i think awesome wm, yes that's the name (and it also is awesome) comes close to your needs. actually, i can't believe that they did not test it. it's really popular in arch linux circles. :)
On-topic, wmfs2 also has mouse-moveable splits and tabbed containers, and herbstluftwm has both manual tiling and automatic tiling modes. There are many WMs out there that might meet your requirements -- try a few!