Synthetic stock is the way to go.
Depending on the final weight you want, chose steel insert or alloy insert - there is no difference in strength - and keep in mind the scope weight.
Depending on budget available, choose steel or alloy. The steel insert synthetic PH is typically 2.5x to 3x more expensive ($5,300 vs. $2,100 on EuroOptic right now, used to be $4,500 vs. $1,500), for no other reason than Blaser think they can gouge you.
You can always put a 12 oz. or 16 oz. tungsten recoil reducer in an alloy stock if you want the weight of a steel insert stock, without the cost.
I have both alloy insert and steel insert stocks, there is zero difference aside from the weight. I would never have bought a steel insert stock if I had not come across one used-as-new, priced to sell instantly, by a guy who thought he had to get a steel insert to get a 22 mm channel for a target barrel, and who just wanted the cash to replace it with an alloy insert stock. Lucky me!
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I favor DG caliber rifles that are a little heavier, as I find them considerably easier to shoot, and as I cannot tell the difference between 9 and 11 lbs. once they are slung on my shoulder. I love my 11 1/2 lbs. scoped R8 .458 Lott. It is a pleasure to shoot, and clover leaf accurate too.