The 338 I have right now is ridiculous so I would not suggest it.......but if I was to build another for the purpose you suggest it would be a 338WM with a Rem 700 action, either the Hunter or Classic stock. aftermarket trigger (I still prefer a Jewell trigger even though they get bashed on this forum). A two piece steel picatinny base with 30mm Burris signature Zee rings. A leupold 4.5x14x40mm 30mm scope. A Krieger or Bartlein 1-10" twist barrel finished at 26".
The thing to me with a 338 is "THE BULLET" a Sierra 300gr Match King !!!!!!!!! this bullet will take anything on the planet from prairie dog to elephant. a bit rough on the shoulder compared to wimpy 225-250gr bullets but worth it