Berger 156 @ 3050' +/- with 20-22" barrel

[jk_minn]

The title is the goal. The cartridges I am looking at right now are:

1) SAUM IMP
2) WSM
3) MAX

Any one able to confirm if 3050ish FPS is doable with the 156 Berger in the cartridges listed, and a 20-22" barrel? Would like to stick to ADG/Lapua brass. Have thought about the 6.5 - 7 PRC IMP that UM is doing, but I feel the ones listed are overbore enough - but maybe that is what is needed? Also, would like to avoid doing +P...

Thanks for the feedback.