Loaded to similar velocity, the 300 grain Sierra Game King has a trajectory nearly identical to the traditional match .308 Win 175 Sierra Match King. I have had my best results with RL-17, but that powder is pretty difficult to obtain these days. There are quite a few optics available with holdover reticles calibrated for the .308 Win/175 SMK combo, making the 300 SGK an attractive option, IMO. Despite what the paper ballistics may state, I have found the 300 SGK to drift significantly less in the wind than the .308 Win/175 SMK does. I am not sure why that is the case, but my best guess is that it has to do with sheer bullet mass.
The Speer 270 BTSP is definitely worth a look. I am currently working on loads for this bullet with Alliant TS 15.5, VV N550, and VV N555.
I have had promising results with the Barnes 250 TTSX and CFE 223.
As others have mentioned, the Nosler 260 Partition and Accubond are likely good options for your application.