I'm no help with the 150 but I use a lot of barnes bullets in a variety of calibers. In general, you want to shoot a barnes mono that is about 20% lighter than the standard weight cup and core bullet for the caliber. This is so the length of the bullet is comparable to a lead core bullet and will stabilize. For example, I shoot an 80 gr ttsx out of my 243, where the standard core lock would be 100 gr.
It looks like the 120 is most common in loaded ammunition and after looking through the reloading data, I would recommend the 120, that should get you over 3000 fps at the muzzle. That will keep you well above minimum velocities out to standard hunting ranges. With mono bullets, velocity is key, you want to reduce the weight a little and push them as hard as you can.