Based on your perimeters and most of the above responses, I would agree, I think you have your answer. 7 SAUM!!! 284 Win is not a bad choice either but with the mile the 7 SAUM is more practical. I would get a fast twist 1/8 or at least a 1/9 and shoot the 175s.
Additionally, a 24 inch barrel would be optimal but if you are running suppressed all the time depending on the suppressor you could go as short as 20" and be fine.
Additionally, a 24 inch barrel would be optimal but if you are running suppressed all the time depending on the suppressor you could go as short as 20" and be fine.