According to E.C. Crossman in his "Book of the Springfield", Springfield NRA sporters came with a 14.125" pull and used a buttplate like that of the 1922 target rifle. This buttplate is flat on the side facing away from the shooter and could easily replace a rubber recoil pad with no additional fitting, provided the stock has not been shortened too much. These buttplates occasionally come up for sale, and adding one to the rifle you describe would possibly restore it to original condition.
The Style "T" rifle is very similar to the NRA sporter, except that is is fitted with a globe front sight, has a headless cocking piece and reversed safety and is drilled and tapped for bases to fit the Winchester 5 A telescopic sight.
