30-06 excellent on any North American game
-100fps = 7.62x54 a.k.a. .308
-200fps = 30-30
-300fps = 7.62x39
As mentioned earlier, you just can't stuff enough powder in that small case to launch a heavy enough boolit hard enough to kill elk sized game reliably. Unless you are really close.
For deer within 100yds, it's fine until you get up into the wide bodied deer that weigh over 160lbs. Years ago I passed on the 7.62x39 because of it's boolit drop and lack of terminal energy beyond 100yds.