Bruce,
You're not outta luck. The threads on the plug are going to be considerably stronger than the threads on the drum. If you do this correctly you are no more likely to blow out the drum if it's screwed into a repair plug than if were screwed into the barrel, particularly if you make the repair plug out of a higher grade steel. On Model 12 Winchester shotguns - many millions made - the barrel is screwed into a barrel adjusting bushing that has the interrupted threads on the outside to mesh with the receiver. That bushing is really thin, far thinner than your minimum thickness of a 5/16 drum in a 7/16 plug, and the barrels on Model 12's don't blow off, ever, even with 38,000 psi proof loads which is a lot more pressure than you can generate with black powder. If you want to convince yourself it's ok, do it, double charge it and put two balls in it and touch it off with a piece of firecracker fuse. That drum is not going to blow out.
Tom