"Use enough gun".
And that is strictly a matter of opinion. Well, mostly.
IIRC, Bell didn't think the .22 Hornet was much of a rhino gun....
That said, I'd carry a .308 without hesitation. My walk-about rifle is a M94 in 30-30.
But size does matter sometimes, and placement matters more. Shooting a rifle one isn't afraid of is a good idea.