I would recommend the Grendel, but I would stay away from the Barnes with that round. I would recommend the 123 grain Hornady SSTs or, if you have time for some load development and really want to stick to mono-metal bullets, pick up some Cavity Back MKZs (105 grain) and have at them. The Barnes bullets are a bit too hard to open reliably at lower velocities.

The big Axis buck in my avatar was killed with a TC Encore in 6.5 Grendel using the MKZ bullets. Shot was 95 yards and he went maybe 15 before piling up.

My 8 and 10 year old nephews shoot this gun off the bench with no problems at all with recoil.