Can we have an early warning white dwarf supernova system?
Unfortunately not. A white dwarf supernova results from an explosive carbon fusion event; this kind of process does release some neutrinos, but very few relative to the number released in core collapse event (for which 100 times the explosion energy is released in neutrinos!) Detectors today are just not sensitive to such a weak neutrino burst, even from a nearby white dwarf supernova.