First off, I'm not sure how WildRose believes heavier bullets have anything to do with "better SD??? Good and bad SD on speeds can be had with any bullet in any weight. Heavier will generally give better BC, yes, but SD? That depends on how good you are at tuning a load and sorting bullets and how good of a barrel you have and how consistent your powder is burning and how consistent the primers are and how uniform your brass is and how consistent your headspacing and bullet seating is and how uniform your neck tensions are and the list goes on.....
When testing for a hunting load, think of it this way...You have a really nice buck in your scope. You're dialed in and everything is right. Right as you squeeze to release the firing pin into the primer of your round, you catch a glimpse of something wrong a split second too late before the round fires downrange. He jumps from being startled by something and wheels around just enough before impact that the round hits him in the stomach. He hunches up and takes off running towards some 'dog hair thick' trees and brush. You have about 7 to 10 seconds to get off the other two rounds in your magazine and put him on the ground before he reaches cover. So you fire quickly and he doesnt seem to react. Dang! Must have missed! You load the last round and take a good deep breath, swinging on him like a shot gunner shooting a clay pigeon. You think, I know he's not hit hard and could go a long ways, I've gotta make this one count. BANG! You come back from the recoil to see his legs through your scope kicking up at the sky furiously,then slowly, then still. You did it. You dropped him like a rock with the third shot. GOOD JOB
Now what did you get from that scenario? We all have most likely experienced a similar event or will at some point in the future if hunting runs in your veins. That scenario points out that your rifle has to be every bit as accurate on a third shot in rapid succession as it was on the first.
So the answer you are looking for when wanting to know how much time to let a barrel cool when developing a load is simple. None. Get all 3 rounds down range as quickly as you can load another round, breathe, and get another solid hold on the target.
Now time between different 3 shot load recipes? Let the barrel cool nearly all the way down. You basically want to experience a cold bore shot with the first round, and a warmer barrel with the next two and have them all hit in a nice little group. Just like you would want in the scenario I illustrated above. Good luck