Long or short action? Long action I'd say 300 win/ultra, 338 rum, 7mm, etc etc etc. Short action is a bit limited on heavier hitting rounds for moose and elk. I'd suggest wsm/Saum such as 300 wsm. With only 20 inches of barrel your powder burning efficiency is cut way back.
Which means you'd want a faster burning powder to achieve the most velocity.
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