Just saw you had a 338 also. Most of the 338 suppressors are longer and heavier. You could just buy a 338 suppressor but may want something smaller/lighter for most of your hunting.
I have a Rugged Alaskan 360 that will handle up to 36 caliber, including the 338 Lapua and 9mm. In the short configuration (w/o thei RUM) and using a DT adapter, it's no longer than my Nomad 30 - about 6".