Both will work great for blowing holes in deer, the 270 does nothing a handloaded swede won't do. I shoot 129 gr horandy's at 2900 fps in mine, vs 3000 for a 130 gr in 270 and for that you have to pack 12 more grains of powder into the 270.
Virtually identical performance, quite a bit more recoil for nothing in the 270.
Not worth owing both, get the 6.5 and sell the 270.