So the recommendation so far is just to keep killing as many northerns as possible no matter what the size?
I would wait until you have a better feel for the population dynamics in the lake. The northerns "could" be keeping the LMB numbers down. If so, surviving LMB should grow very well due to the lack of competition from other LMB, this would also make them much harder to catch. What kind of body condition do the LMB have? Are they extremely fat or very skinny most of the year? I would guess that the LMB you catch are on the very fat side which is where you want to be.