There is one way to tell them apart, but since it involves mtDNA analysis by an expert that would cost you a fortune, you might as well go with the there is no way to tell answer. (Burbrink, F.T., R. Lawson & J.B. Slowinski. 2000. Mitochondrial DNA phylogeography of the North American rat snake (Elaphe obsoleta): a critique of the subspecies concept. Evolution, 54: 2107-2114.)
The real answer is that since we use color and pattern to tell these snakes apart, and since your snake has no coloring or pattern, it makes no difference unless you want to breed your snake to a wild type. If you have a male, and you breed it to a wild type Texas Rat and a wild type Black Rat, one of the clutches should produce nothing but wild types and the other should produce intergrades.
I think the best thing to do is to tell yourself you have a nice white Rat Snake, and then relax about it and enjoy your animal. There is no such thing as a bad looking Elaphe obsoleta.