DocAV:

Twin Cities Arsenal lot # 19362 was the first lot of non corrosive 3006 ball ammo, and was manufactured in December 1950. Since your ammo is 1000+ lots earlier, I think you can be fairly sure your can dates to the WW2 timeframe. I doubt there was very much TW ammo manufactured after WW2, and before Korea.

You can watch for specific boxes (or cans) of Twin Cities ammo, and it's corresponding headstamp, and narrow your timeframe further.

HTH