I've used neoprene, not rubber, O-rings placed around the barrel behind the muzzle of rifles with Mannlicher-style full-length stocks to cushion the contact between the barrel and stock or barrel and end-cap. I don't see how bedding the action will eliminate the barrel flex/whip that allows the barrel to randomly touch the end of the stock or end-cap. While it might not be the "school solution", it has worked many time over on Interarms, Remington, Ruger, and Winchester centerfire rifles with Mannlicher-style stock. Sometimes I have had to move the O-ring back and forth over the last 1" of the barrel to find the sweet spot, or use a second O-ring spaced behind the front O-ring, but I was always able to tighten up the groups. I believe that the constant pressure of the soft neoprene O-ring between the barrel and stock cushions the barrel flex/whip and that results in tighter groups.

I have full-length bedded a couple of rifles with Mannlicher-style full-length stocks, but neither of them made better groups than those using the neoprene O-rings. I haven't noticed any degradation of accuracy over an extended period of time, since 1985, due to the neoprene O-rings becoming brittle or misshapened.

As someone noted previously, if for some reason it doesn't work for you, your input costs are less than $1 for the O-ring and less than 1 hour of your time.