I’m probably saying the same things others have said, but I would recommend shooting rifles in those calibers before buying one, if you have never fired those calibers. To me a 7 mag kicks noticeably less than a 300 win mag. I’ve owned and shot 300 win mags, 300wby’s and a few 300wsm and 7mm rem mags. They all killed everything they were ever pointed at. Ive killed far far more game with a 308 than anything else and it is by far more gentle to shoot than either of the two you mentioned and weighs much much less. With today’s bullets Cartridges that were once considered marginal for big tough beasts are more than adequate. I’ll take a light weigh AND light recoiling rifle over a big heavy and hard kicking rifle almost always. But of the two you mentioned I believe I’d go with the 7 mag. It (to me) kicks less, is easier to shoot accurately and is fully capable of cleanly taking the animals you listed. Good luck.