From the B&C website:
It is acceptable to remove horns from the skull, clean them, and then have them reset with a bonding substance as long as the horns are not altered in the process.
To prevent base shrinkage you have to bondo the bases onto the horn cores ASAP. Sometimes this causes the bases to crack a little, but it will prevent them from getting the "hose clamp" effect. All horns are different - some will crack, some won't. There's no rhyme or reason. Generally the bucks that have more ridges and grooves in the bases will crack more often. It seems kind of counterintuitive as you would think those kinds of horns would have more "accordion-like" properties, but they don't. The problem with this is that if the horns do happen to crack it's now up to B&C's discretion as to whether or not you were trying to "enhance" the circumference measurement.
Like Randy said, the more massive a buck is, the more it will shrink. The thinnest, longest bucks, will hold their score the best.
I just taped my NM archery buck the other day that officially scored 90 B&C and I was sick to my stomach at how much it has shrunk after the initial 60 days of shrinkage. It's score was almost all mass as it was only a tad over 15" long with prongs just over 5". Also, my buck was taken within a couple miles of Randy's buck! (Side note - Randy, I'm starting to think bucks in that area shrink an abnormal amount. The more heads we kill in there the more we're noticing it. Possibly because of the tremendous mass on bucks in that area. Kind of a catch-22.)
Other than that there's not much you can do. I know of several people who swear that storing their horns in a friendlier local (say in Flagstaff instead of Phoenix) helps a lot. I also know some people who have tried all sorts of methods including freezing their horns in blocks of ice. I'm sure B&C wouldn't approve of most of the bizarre things I've heard of, but the bucks ultimately shrank just the same regardless of the crazy methods attempted.
Some things I've seen that are definitely NOT going to help your bucks score:
1. Letting the horns stay attached to the horn cores for 60 days. And it smells awful.
2. Removing the horns from the cores and then letting the horn sheaths sit around for 60 days. There was one guy who brought us a 90" buck where the horns wouldn't even fit over the horn cores because the bases had shrunken so much.
3. Anything with extreme heat like boiling or microwaving.