welcome erope, the 270 will be a fine choice, others you might consider if it's strictly a whitetail gun 243, 260, 7mm-08, 308, all have very light recoil and are well capable at the ranges listed and beyond, just as the 270 is, i know a lot of people that the only rifle they have ever used for whitetail is a 270, and they have killed plenty of deer
best of luck, let us know what you end up with,,,,,