New Winchester 70s are made in Utah, not Japan, not that's nothing wrong in things built in Japan, on the contrary; I'd buy Japan-made over anything else made any day of the week. Said that, new Winchester 70s are designed as pre-64 and they are excellent rifles.
I'm a big Winchester 70 and Mauser fan myself, I'd suggest you to get a custom barrel action or a whole custom rifle from the Montana Rifle Co, that's the route I went. They build high quality Winchester 70 clones, and you can get a heavy bull barrel of any length chambered in your .30-06.
Also understand that a sniper is somebody that kills humans at long distances.