I know exactly what you'e talking about. I put a 26" varmint barrel on one of mine. When I set it on the table it pivoted on the bipod by itself. I epoxied a super heavy duty door hinge in the stock. The kind of hinge you'd find on a steel fire door.

Worked like a charm. But ya know, It stabilizes the rifle nicely if you shoot from a bench. I don't think I'd like to run around the woods with it strapped to my back.
If does settle it down quite a bit. I can watch the shot thru the scope on my .243 because of the weight.

Glad to know it works for you. Happy shooting & don't forget....
You'll be required to post a few targets after you find out what ammo it likes.
Have a Merry and a Happy.
Frank in FLa