Forget the rocks.
Do as OG suggested while the tank is still up and running. When you're tearing it down for the move, do a really thorough gravel vacuuming. Let the mulm settle and decant the surface water. Bag the mulm and filter media, maybe add a few flakes of fish food for some fresh ammonia. Top up with extra water to about 1/3-1/2 the bag. It'll probably look pretty gross.
Then, as mooman suggested, put the bags in a cooler with a little ice to keep them cool but not cold and maybe let in some fresh air, but I doubt that the bacteria will deplete the O2 in 3 days, but hey, it couldn't hurt right? You should be fine.
The rocks, substrate, decor you can let dry. You may want to clean them a bit while they're still wet though, because it can be a pain after they dry.
Once you get to the new place you've got the mulm which is teeming with heterotrophs (break down food and waste) and the sponges for the nitrifiers. That's pretty much all you can do.
After you set it up, add enough ammonia to raise the tank NH3 concentration to 5 ppm. Test NH3, NO2, and NO3 24 hrs. later. If all went well all the ammonia should have been converted to roughly 20 ppm NO3. The worst case scenario is that you lose some of the colony, but still have a good seed colony to build from.