Mt Al,
Your rifle would have likely been throated for round nose bullets. To keep about the same distance from the lands, you would have to seat the bullets you want to use to a longer OAL. At the same time the bullets need to be solidly supported by the case neck. It seems you can't meet both ideals, so you will have to let the target decide which is most important to your rifle. In my limited noncompetitive experience, the most important of the ideals to meet is solid concentric support of the bullet and reading between the lines of Sharps4590 comments, he seems to have similar experience. I suggest you set your sizing die to just "kiss" the shoulder of a fired case, which will size the neck but center the case in the chamber. Once the case is charged, seat the chosen bullet as suggested by Sharps4590. It this load "shoots", great. If not, you can vary seating depth from that starting point. If the bullets have a cannelure, an early variation might be to seat the bullet to that depth (not necessarily more accurate, just a visible indicator of uniform depth). Just remember, this is a hunting rifle you are loading for, and group size is not nearly as important as being able to put one bullet where you want it from a cold barrel. I don't think you will have a problem doing this.
Mike