The idea that the recoil from a .270 is significantly less than the recoil from a .30/06 is flawed. If two identical rifles, one a .270 and the other a .30/06, are compared with both firing 150 gr bullets at about 3000 fps, the difference in recoil between the two, if any, is indistinguishable. If the idea of .30/06 class recoil is objectionable, a 7X57 or a 6.5X55 might be better choices, and either is appropriate for all but Yukon moose, where the law clearly has the 180 gr load of the .30/06 in mind as a .30 caliber 180 gr bullet producing 2800 foot pounds of muzzle energy is the mandated minimum. But here's a thought, handloading and rifle shooting go hand in hand, and the handloader gets to control recoil. One way to mitigate recoil is to shoot lighter bullets at lower velocities, a .30 caliber 150 gr bullet at 2700 fps, which was the original military .30/06 load, will shoot flat and kill any North American game with a well placed shot. Stewart Edward White used this load on an extended African safari in 1913 and despite using the military load, which was all that was available, seldom needed a second shot on the dozens of animals he took, some weighing up to a ton. With modern soft point bullets, those ballistics, 150 @ 2700, will produce even better terminal performance.