What do you have for a deer rifle already on hand, any of them will do the job.
270 Winchester with 140, 150, 160 grain bullets.
280 Remington with 140, 150, 160, 175 grain bullets.
30-30 Winchester with 150, 170 grain bullets.
308 Winchester with 150, 165, 180 grain bullets.
30-06 Springfield with 150, 165, 180, 200, 220 grain bullets.
From your list I would choose the 35 Whelen with 225 - 250 grain bullets, also excellent for Elk, Moose and Grizzly.
yooper77