1.) The 338LM, when properly braked, is very easy to shoot. I have some video of a 16yr old girl shooting the very same gun you have posted in the pic. Anyone who says they "beat the [beeep] out of you" is just spreading misinformation. Yes, they are loud, but you should have ear protection on anyway, hunting or range shooting.
2.) If you reload, you can easily load 338LM for under $3 a round. You can't calculate the full cost of brass into every reload. Once its bought and paid for, it's no longer a "per shot" cost, only the bullet, powder, and primer.
3.) Ever notice how you see so many 338LM for sale? It's because people just like you buy them thinking they will be fun. Once the novelty of it is gone, they never get shot. I'm not knocking you, I bought a 50bmg way before I possessed the skill level to utilize it (still don't honestly). I sold it not long after I bought it.
4.) Hunting with a 338LM is a total waste practically speaking. Yes, you can do it, but why? Are you shooting game at 1000-1500 yards? Do you posses the skill level to shoot game (even a coyote) at that distance? Have you ever shot where you had to calculate for spin drift and Coriolis effect? My reason for asking is the 338LM's ability typically far exceeds the shooter's skill level.
5.) My vote would go to the 6.5 Creed pushing a 140gr VLD around 2800fps. It's capable to 1000yds and beyond. Yes, the 6.5x284 is the big dog in the 6.5 world, but it does it at the cost of barrel life. You'll get twice (or more) the amount of barrel life from the Creed as you would a 6.5x284. The benefit(s) certainly doesn't outweigh the negatives when looking at what your planning to do with the rifle specifically.
6.) It's hard to beat the 6.5mm's right now. Just look at any comp, tac shoot, range day, etc....your gonna see the majority shooting the 6.5mm or .260 (both shooting 6.5mm".264" bullets).
It's all a matter of personal opinion and in the end it's your money.