A .338-06 shooting 200 grain bullets @ 2900 fps?
That's what a .338 Win. Mag. gets with 200's at pressures about 53,000 CUP.
.35 Whelen's get about 2690 fps with 200-gr. bullets with peak pressurs about 52,000 CUP.
I think the pressure to do that is way, way over safe limits.