I hear you there Dave, but with the Sig Zee rings the ball swivel inserts inside the scope rings allow for misalignment and let the scope sit straight and even with no added pressure to the scope tube. Bases can be pretty far off and scope still aligns well. At least that has been my experience, especially when coupled with the offset inserts available separately to allow for compensation at basically any angle.

I agree bedding would be the best, but I guess I was just leaning towards simplicity since the OP is in a time crunch.