Either way you go, best to have your chit together.
I've seen wayyy more hunters shoot over big-game than under...and that's by a landslide. Most of that comes from the basic lack of understanding about POA/POI problems associated with how their rifles are sighted in.
Prior to turrets (which NO question is THE way to go), I sighted my rifles in at 300 yards. But, I also knew that at ranges from 100-250, I best be aiming at the heart (elbow area) on big-game or I'd be shooting over stuff. I learned that from shooting coyotes, where POA/POI left very damn little room for error.
IMO, if a hunter doesn't have their chit together, is easily excitable at crunch time, etc., I would sight dead on at no further than 200 yards. I have seen way too many hunters sight in for the longest shot they thought they would have, instead of where 99% of their shots were taken (usually under 200 yards, even on pronghorn). Result is shooting over, almost always.
With turrets I still sight dead on at 250, but know that I have to be aiming on the lower 1/3rd of the animal where I kill 90% of my animals (around 150-200 yards). I also have found that typically if an animal is at a distance that requires spinning turrets (over 250 in my case), you have the time to range, dial, and get it done.
Nothing is better than being able to correlate POA/POI via spinning turrets...just a fact.
If I didnt have turrets, I would sight in at either 250 or 300...and shoot a bunch between 100-200ish to verify POI elevation above POA...
If in doubt, sight dead on at 200, shoot at 250 and 300 to verify drop, and call it macaroni...