You're saying your groupings aren't what you like. What are they? Also, emt does have a point. Try some different ammo. You don' need premium ammo for elk out of a .338 WM. But if that's what your rifle likes it is worth the extra cost. Let's face it, a 338 is not a rifle you will shoot a lot on the range. If other ammo doesn't fair out any better I would dump the Remmy. Savage is usually accurate right out of the box but the accu-trigger, although great, takes some getting used to.
Brownings and Tikkas have beautiful triggers. I haven't tried the triggers on the new Rugers but the 77 is also a solidly built rifle as are Winchesters.