Seems to me putting a 19+ oz scope on a lightweight rifle is like bolt-on 38DD's on a 95lb, 5foot woman.
My choice for my two 270's is a 2.5-8x36 CDS on the Kimber MT, and 6x36LR on the Winchester 70 Fwt.
A light 3-9 or 3.5-10 wouldn't bother me either.