ANY 00 will do just fine.
ANY.
You are right any 00 for shot type loads.
I have shot a lot of buck in training, testing and hunting my 870 tactical is loaded with 7 rounds of 2 3/4 00.
If I am going to have trouble at by place most likely it well be animal bears normally.
I can tell you from personnel experience at close range under 15 yards 00 well mush a bears head.
I use 3 inch 00 for yote hunting I have rolled them well past 40 yards.
If I need a single projectile weapon a AR is near by.
But then my closest neighbor is 1/4 miles away.