Maximum distance and size of game should be considered when choosing the bullet for the job. We hunt elk so I tend to lean toward sectional density and higher BC for less drift, more energy and terminal damage at longer distance. I have built, owned and shot many 7mm-300 wins which are very close in ballistics to the STW. I will load nothing less than a 180 gr high BC bullet for my type of use. If you plan to keep it relatively short distances under 500 yards then that could be different. But on elk I want the heaviest bullet at any distance. I load for the best results on the longest pokes I would ever take, the larger bullets prove to have less drift and drop when stretching out a 7. And I have tested this side by side in the field.
Jeff
PS: this is assuming you have a 9 twist.