That's why I asked about his range and twist. 9.5 twist is better for the 177 GS. I'm running them out of 1-10, but at 3660fps. They will run fine out a 10 twist for work beyond 500yrds. Inside 500 they may tumble on impact.Just about any hunting bullet out of a 300 WSM should work fine as long as you dont exceed its limitations.
I would choose the 180 E-Tip before the TSX because it has a higher BC and it's a tougher bullet. It also shoots at higher velocities from my 300 WSM.
Accuracy would be my first discriminator. Other than accuracy my choices in order would be...
If you had a 1:10 twist a GS HV 177 might work. If it did it would be at the top of the list, but it's spendy.