The rifles produced in the era that yours was are VERY interesting pieces. The last that came out of Springfield Armory, and were assembled concurrently with Garand production, so output was fairly low.
Check the end of the muzzle for a 'star gauge' mark. Looks like an asterisk, or turtle with six legs. Is the bolt polished, and if so, does it bear the rifle's serial number etched into it?
The reason I ask about the barrel and bolt is that SA built up National Match rifles right up to the start of WWII, and those two items are the most obvious indicators of a match gun. Values for one of those over a 'standard' rifle are several times more.
Even if it's not a match rifle, the DCM was still selling 03's through civilian sales, and quite a few are out there, purchased, left unused, stored, and now popping up here and there.
Post what you have over on Culver's and request that someone run the serial number to see how it was disbursed, and the original configuration. Well worth the effort.