Hillbilly,
If you have a low-number Springfield M1903, it would NOT be a good idea to handload hot loads for it. Low is defined as s/n below 900,000, I believe. Low-numbered Rock Island M1903 rifles were affected too.
For the same reason, I would not use a 7.62 NATO chamber adaptor bushing to fire .308 Winchester rounds in that old Springfield. Chamber pressure is too high when using .308 Win or 7.62 NATO ammo.
I have extensively fired M1 rifles using the .308 Winchester adaptor bushings, and found them to be unsatisfatory. Most will eventually extract with a fired case and be lost. Also, the .308 Win/7.62 NATO case is fatter at the shoulder than the corresponding point in the .30-06 chamber, and will give you difficult chambering. In the M1 rifles, we had to run in a .308 Win chamber reamer to make it work well.
The chamber adpator may or may not work for you in a bolt-action rifle. I can not recommend it.
HTH
John