150 Ballistic Tip worked well on a fully mature bull elk for me this past year. I think bull elk are a bit tougher than bull moose.
My first choice for the 7-08 would be a 140 Accubond or Partition.
My choice of the 150 Ballistic Tip was strictly based on accuracy, but knowing full well its construction was up to any task I had.
I'm not a mono fan...