banjo318;
Having read all the posts up to this point I will put my "2-cents" in.
There are a lot of calibers that will work at the ranges you are wanting to shoot at.
I would advise you to "Do Your Homework"! Study, read, research, and gather as much information as you can on the subject of your project.
Things to consider and not all are listed:
What is your budget?
Does recoil beyond a certain level bother you? NO SHAME if you have a recoil limit as everyone has a limit, some more than others! But this is a personal choice.
Do you reload? If so, can you afford to "Feed" your cartridge? Bullets for your project can run from 50 cents to over $2.00 per round and you already know what powder costs nowadays. Same for brass. As just one example, brass for the .338 Lapua runs around $2.70 to $3.00 per Round! While the .338 RUM brass goes for around a dollar to $1.07 per round. The .338 WinMag, you mentioned earlier, runs around .70/70 cents per round.
By the way, I have a .338 WinMag that I have used for years {{ it shoots 1/2", or better, when I do my part}} and it's the first rifle I grab when heading out the door and not knowing exactly what I might be shooting! I also have a .375RUM that I am "tuning" but that is beside the point.
Also, consider the cost of maintenance of your rifle too. Solvent, Patches, ect, all add up right along with your costs per bullet, brass, and powder.
To make a long story short, the final decision is YOURS, and YOURS alone! Choose a cartridge/bullet combination that will satisfy YOU and YOUR specific needs and budget.
The only way to keep your shooting skills sharp is to practice and practice OFTEN! Be sure to get a logbook and keep it for your longrange rifle alone. I have a couple different rifles I shoot at long range and I keep a separate notebook for each rifle! You will want to have room to enter range/hunting conditions such as weather, sun, wind, altitude, ect, along with your load workup, "Formula" that you use such as what brand of brass, bullet, powder, and lot numbers of each, along with how often you clean your rifle, what you use to clean it, along with your round count for the day to be added to your total round count on that barrel, ect.
These are just a few recommendations and are not all inclusive! While advice from friends, relatives, fellow shooters, can help, in the end it is YOU that will be shooting that rifle and if YOU are NOT 100% happy with your choices your not going to want to practice, keep up your logbook, or reload like you should which, in the end, will make the "Game" that your shooting at Pay The Price! Try NOT to take a shot at game that you are not 100% sure of putting down quickly with the proper bullet and bullet placement! I did this once, years ago, and it still haunts me today and always makes me do one more check of myself before sending that bullet out the barrel!
Just remember, in the end, it's YOUR CHOICE ALL THE WAY!!
Oh!, and please note that my CAPITALS are NOT SHOUTING, but only to press my point a bit.
One last thing, if you don't have a good logbook, or don't like the one you have, you might go look up "Impact Data Books"
<
Impact Data Books, Inc. - Modular, Premade, Custom Data/Log Books! >
and look over Tony's products. He is a former Marine Scout/Sniper that has a good product that I personally use. Tony also gets his orders out in a very expedient manner too! }:-D
I hope this helps you get started. I don't post very much as real life is usually in the way too much and I rarely get involved in "which caliber/what scope, ect, type conversations as everyone has an opinion and someone else's opinion may or may not work for YOU.
Take Care, Stay Safe;
Coyote
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