How about boring the center of the trunnion out. then welding from the inside with a mig welder??
You are describing what is essentially a plug weld, The disadvantage of this style is you don't have much metal at work, only the small diameter of the plug. By welding the rimbase perimeter to the barrel, you get much more material holding things together which gives you a stronger weld, and being at the outside, you get greater "leverage" on the recoil force. Not as easy to make pretty but a better attachment.