It sounds to me like your first one or two shots are shooting higher as result of higher velocitites, as a result of higher chamber pressure, from leaving residue of cleaning solutions in the barrel. It could also be that the first bullet in the pure clean bore is raising chamber pressure as a result of not having any "lubrication" for the bullet, which jacket fouling acts as, in the perfectly clean bore. You could troubleshoot this by using a chronograph to see if you're having a big difference in velocity.
I know that all kinds of people and gun writers tout this continual cleaning, but it's a huge waste of your time. If you can't put at least 20 rounds through a barrel and maintain your accuracy, you should sell it. As was stated in previous posts, you're overdoing it on the cleaning. Just clean it up good before you leave the range, prefferably while it's still warm, the powder fouling comes out easier when it's soft.