Made in America, these Browning A-Bolt Scope Mounts made by Talley Manufacturing offer a unique and simplified one-piece scope ring and base
www.talleymanufacturing.com
Seems like something as simple as this would be adequate. .270 WSM, A-bolt II. Putting a 19 oz scope on it. Only four mated surfaces... two forward, and two back... the base to receiver, and then top half of ring to the bottom half. As opposed to a full rail which is three. Rail to receiver, bottom ring to rail, top half to bottom half.
I guess the rail route has more surface area on the receiver, so there's less riding on the screws themselves. I don't know. I guess the next step is to get my hands on the scope and see about where it needs to be mounted.