Dakota,
Did you ever find out anything about that White? To me,it looks like a White 4000.They were equipped with the Super White Mustang gas engine and others ran with Cummins.I own a 1961 White 2000 with a Mustang 6 cylinder engine.Looks very similar to the 4000.The GVW of my 2000 is 22,000 and it is roadworthy wink .I have pics that I'll post in the alternate gallery.
Body parts are hard to find,however mechanically,other truck makes used many of the same components so there is hope.
Check out the website The Classic White Truck site,lots of pics,a forum and classifieds.The traffic can be slow at times though.

Ron