Basically, while pairing L3T, match the corners with incorrect triangles so it would be offset by a U/U'. You would then insert the pairs like normal and be left with an unchanged CP.
I'm pretty sure this has been thought of before since it seems pretty basic to me but the reason I asked is because I'm wondering if there would be some way to skip CP every using advanced intuitive triplet pairing, or would you have to learn algorithms?