To answer your question, my first choice would be the 80 gr. Barnes TTSX.

One point I haven't seen mentioned would be fit. Unless you are one of the "little people" the LOP on your 30-06 would or should eliminate it from consideration.

My Dad was a big man and the LOP on his .308 was about 14.5". When I was fourteen I borrowed his rifle but never shot it well, not because of recoil but because it was about 1.5" too long for me.

Likely in moose season he will be wearing more than a tee shirt and LOP would be among my greatest concerns. If the 6.5 is too long for him and you are unwilling to bob the stock then I would be choosing a good bullet for the .243.

Boy or man, no one shoots well a rifle that duzzint fit.

1flier

Black Olives Matter!!