RE: 308 for moose
There' s lots of choices of good big game cartirdges for elk an' moose thet ain' t magnums.
Fittin' non-mag elk cartridges (accordin' to Beaverjack):
270 Winchester (with 150 or 160 grain partition-grade bullets only)
7 mag (with 160 or 175 grainers, I don' t call this a mag)
30-06 (with 180 grain bullets)
8mm-06
338-06
35-Whelen
348 Winchester
358 Winchester
358 Rem Mag (not a real mag by today' s standards)
45-70
375 H&H
Probly more thet I ain' t thunk of. But thet' s my list. Add all the mags when an' if you can shoot them offhand, hitting a pie plate 9 outta 10 times at 50 yards.