White connector ? Not that I'm promoting any company, but the complete valve is available, either as an assembly or the component parts. I contemplated building this thing for many years, even found the original solenoid (coil) mfg., talked to the GM restoration legal people, had GM engineering draw the valve body as a manufacturing print, talked to plastic injection mold shops, and bought several valves and motors (originals) to pattern everything, and then at least one company beat me to the punch by reproducing the whole thing. So - buy it from them, or you can get the same valve through several known parts vendors. One thing that's not reproduced, or at least one that I can find, is the black "Y" connector that ties the two outlet hoses together into one hose - I have a couple of originals that I treat like old gold - they are put away until I need them. If you don't want a repop, you're stuck with searching for an original good enough or intact enough to restore.
By the way, the coil (solenoid) portion of the valve is gold cad on the bracket, versions in silver cad are incorrect. I can send you pics of an NOS coil that I bought from GM years ago, plus part numbered originals that retain the gold cad finish. Part numbers for valve bodies and coils are available through any vintage GM parts catalog, I can supply those if you can't find them.