Roseaukaine, unless your rifle is to be specifically a long range bean field type, a 4x12 seems to me to be a unneccessarly large scope for deer and other big game hunting.
I also agree with the other posters that said to go with the 40mm objective.
I currently have four Vari Xlll's and one VXll. All are excellent scopes but if I have the extra money, I'd go with the Xlll.