The bridge pickup is NOT the one by the neck, that's the neck pickup. If you even have to raise or lower the pickups, you'll have to measure at both E strings. When you raise or lower a pickup, each side moves independently. Don't mess with the truss rod until you get much more familiar with the whole setup process. Just a guess, but you probably won't have to do much to it when you get it. You may have to raise or lower the action to your liking and/or set the intonation, but other than that, it's probably going to be ok. Play it for awhile and see if anything "bothers" you, and then worry about adjustments.
Check out BC Rich's homepage and see if they have any setup specs you can go by. Gibson has it all spelled out on their site.