Any way you look at it, it is likely to have 30% more recoil than your .308. I shoot off a bipod, prone, at least occasionally. Picturing shooting the 300 wby mag from a prone position makes me cringe. Never tried it, doubt I ever will. Just something to think about. Or maybe try it once before you buy it.
After wanting a .300 Weatherby for 40 some years, I finally bought one in 2009. I immediately re-stocked it in a AA Fancy walnut stock
that fits me, is pillar and glass bedded, free floated the barrel, and had a KDF muzzle brake installed on it. It shoots a variety of 168 and 180 grain bullets MOA or less out to targets at our 430 yard range.
I got it primarily for my new elk rifle, but it quickly became my favorite hunting rifle. Along with it making one shot kills on my last two bull elk, I have used it on five international hunts for a variety of animals from a 30 lb Klipspringer to 400-500 lb Red Deer stag and Roosevelt Sable antelope.
I go to our local gun range at least one day a week, every week that I'm home, all year long. I start each range session shooting 2-4 of my pistols, then move over to the main rifle range and shoot at least 10 shells from each of 1-3 rifles off a bipod in a prone position at 200, 300, and 430 yard steel gongs. Three of the rifles that I shoot the most are all Weatherby Vanguards in .223, .308 Win, and .300 Wby. One to two months before I go on any hunt one of those rifles is the rifle that I will be using on my up-coming hunt.
With it's KDF muzzle brake, my .300 Wby Vanguard does not kick any harder than my .308 Win Vanguard. In the ten years that I've had my .300 Weatherby, I figure that I've shot over 500 rounds through it off a bipod in prone positions.
And at each of my range sessions, after I shoot my rifle(s) I move over to our Skeet range and shoot 1-4 rounds of 12 gauge Skeet.