I shot barnes 165TTSX out of my 300wsm and shoots great out to 700yrds. It is my everything gun, but I have taken elk, many deer, antelope and 1 bear with it. Great expansion and all were quick kills. I tried the 180 ttsx last year and it shot well, but I think I am going to stay with the 165 grain.
My father prefers the 180 berger, but he has a 7mm. Every gun shoots a little different, I think as long as you are accurate and confident, any of the bullets above are good. I would not go lower that 150 grain, we tried 130's a long time ago on a white tail hunt and the rounds disintegrated and created the most bloodshot I have ever seen. We lost a bunch of meat, we really were not expecting that.