Unusual Engine Colors

No, engine color will not be found in the VIN, or on the fender tag. And "make" (C-P-D) of the car almost never determined the color. The answer is, the engine colors were standardized at one time. Then the mid-'60s came along with so many options, and with various plants making engines, it all got confused. Like in 1966 all the big-block high-performance stuff was supposed to be Street Hemi Orange. But if it wasn't a hi-po big block it was turquoise. And the small blocks were "always" red. But in '69 the hi-po 340 small block came out. Originally they got painted red, some were painted blue for no obvious reason, and finally they were all orange. There are countless other examples.

I'm pretty sure that the 383 installed in your '69 Dart was the same as the 383 Super Bee/Road Runner engine. So the Dart 383 was Street Hemi Orange just like the others. But there were many, many non-high performance 383 2bbl (and 4bbl) engines that were painted turquoise.
It also depended on the time of year that the car was manufactured.
For example, in '69, some 340 engines were turquoise, and some were orange, it seems that the engines in the cars built late in the model year were orange, and the earlier ones were turquoise.
I know for a fact that in '69, 318s were red until march or so and then the factory started to paint them blue.