I've been squadded with some of the best shooters in the country and studied them as they set up for a lane. Hasn't helped a bit.
I'm kidding (sort of). This is a fine idea, but I think the most important part of the setup process is the fact that there IS a process. The nuts and bolts of the process don't matter as much as the repeatability of the process. The key to success is doing as much as you can to not have to think while shooting.
I'm not going to shoot a video (no one wants that) but here is my usual process:
1. Look at the shooting box and make sure you aren't about to sit on a snake or in a mud puddle.
2. Look down the lane and see where the targets are. Determine where you want to sit to see all of the targets. Check if any targets are elevated so you can plan for extending your bipod or lowering your hamster. Make sure all of the strings are within reach of the shooting box and make sure all of the targets are up. Look around and see if you can get a general idea about what the wind is doing.
3. Place your seat as level as possible. Grab your gun and whatever you need. Sit down with the grace of a gazelle. Groaning helps.
4. Get into your shooting position, focusing on stability.
5. Find the first target. If you have to hunt for it, you aren't set up correctly. Move yourself (not just the gun) until you can easily find the target.
6. Range the target. Range the target again. Check your dope card. Click to the range or determine the hold over.
7. Load a pellet.
8. Look for indications of wind.
9. Look at the target. See if there is a trend of misses on the face plate. If all the misses are on the left, there may be some wind you can't see. If all the misses are low, it may be farther than you think.
10. Aim at the spot that you think will give you the best chance of hitting the kill zone. Listen for any sudden wind drafts in the trees.
11. When everything feels right, take the shot. If anything feels off, stop and go back to 8.
12. Reset the target (hopefully). Check the impact on the paddle or faceplate.
13. Go back to 8, using the information from your first shot to determine any changes needed for the second shot.
14. Go back to 5 for the second target.
15. When finished with all of the targets, make sure everything is reset and get the hell out of the way.
If you have a cold line in the middle of a lane, do a full reset and say to your squad mate "1st shot, 2nd target" or whatever the case may be. Do the same if you are scorekeeping for someone else. Shooting the wrong target after a cold line is more common than it should be, help each other out.
If the pellet feels funny when you put it in the gun, blow it off (shoot it into the ground after stating your intention). It's probably fine, but why not make sure.
Here are some things that you shouldn't do:
Don't dick around looking for your pellets, your dope card, your glove, your readers. When it's your turn to shoot, be ready to shoot. Standing is when you want to get all of your dicking around done. Once you sit, you should have everything you need ready to go.
Try not to talk after step 4. This is a hard one for me, but talking during the process is not helping you. And remember this when someone else is shooting. At monthly shoots, I'll have a full conversation while shooting a lane (and my scores reflect this). At GPs, I don't even say thank you if someone says "nice shot". I'm not being rude, I'm just so focused that I don't realize that someone said something to me. I try to stay so focused on each individual shot that at the end of a lane I don't know how many I hit.
When it's not your turn, don't make "helpful" comments. Don't make comments about the wind picking up, or how the last target was farther than you thought, or how many targets in a row the shooter has shot or what their score is. Let the shooter have their process without your influence. By all means, help pull up a difficult target, or help someone determine which target should be shot first or whatever, just stay away from helpful advice or editorial comments. The shooting lane is not the time for that.