I'd suggest painting in sub assemblies...Think of the parts at the factory. Paint wheel and tires, set aside. Assemble and paint the gun barrel assembly, set aside. Assemble and paint the elevating other parts as sub assemblies and paint. Assemble the painted sub assemblies.
As to the gun color in Europe. Dark gray was the primary color until March 1943 at which time dark yellow with or without red brown and green camo was the order. Obviously, the war didn't stop so everything could be repainted in March 1943 so there surely would have been some dark gray guns in the field for some time until they were destroyed, captured or refurbished.