Ha ha!
Thank you RG1. I have a similar method, and it works great from a bench rest, and pretty good offhand or from a weird field position.
I had at one time, maybe 15 years ago, practiced the artillery hold and had become a "fair to middlin'" springer shooter with it.
After a conversation with John Thomas a few years ago, I adapted what he does to this:
I lay the rifle across my off hand (I'm a righty, so my left hand) and I use my left.pointer finger as a cross rail under the stock, right under the forearm mounting screws. Vibration seems to radiate from that point, and this minimizes their effect. I find that if I do that and let my right hand hang lightly on the pistol grip, just to provide a little consistently placed control over the butt end, most rifles shoot very well. Some outstandingly well. And some still need some experimenting with hand placement and hold snugness.
It works away from the bench too.
It's not a cure all, but I find it to be an improvement over the artillery hold.
Of course, each rifle will respond to what IT likes...