I've used a 300 WM for some years. For the last several I've been using Barnes 130 TSX/TTSX. Flat and fast, no problems to report so far.
That said...
For a top notch, accurate bullet in this caliber, and that's priced reasonably, my first choice would be Fusion 150s for both deer and elk. Moose, maybe 165s.
IMHO, with the quality of bullets now available...particularly the Fusion...short of dangerous game stoppers, there's no real need for heavy for caliber ammo. A 150 gr in this caliber flies flatter to 300 yds, hits hard, and holds together as good as can be hoped for. And it reduces 300 magnum recoil substantially, which makes practice at the range that much more tolerable and rewarding. My Sendero, which weighs probably 11 lbs, kicks a helluva lot harder with 180s than my Vanguard, probably 8.5 lbs, pushing 130 Barnes.
I've put Fusion ammo through a 25.06, 30.06, 300 WM, and 300 WSM. Sub-MOA groups, if I'm on my game, are standard fare.
And with all that said...
The most consistently accurate ammo I've ever used is Sierra GameKings. More one shot, DRT kills...often shockingly so...on muleys and whitetails with a 25.06 and Federal Premium 117 gr BTSPs than anything else I've ever used. If these will flatten deer like this, nobody can tell me you need 180s out of a 300 WM to achieve the same...including for elk.
IMHO, and FWIW.