The Talley integral base rings for the Rem 700 are .43” for the Lows and .53” for the Mediums, from receiver to bottom of scope tube. As noted above, the center of the tube should be 1.145” above the receiver to give 1/8” clearance. The scope tube on your Vortex is 30mm, which is 1.18”, half of which is 0.59”. For our ring height: 1.145” - 0.59” = 0.55”.

Considering the Rem 700 action is 1.35” diameter, and typically have 1.20” or 1.25” barrels, we pick up 0.05-0.075” of clearance. 0.55-0.05” = 0.50”... so Mediums would work. Low’s would FIT, but would only allow approximately 30thou of clearance, not the 1/8” clearance we want.

So looking at the specs, Mediums are your huckleberry.