I once took a bike on the central line in peak hours which was fun. Couple of binbags to wrap it up and completely got away with it. Didn't even twist the bars. Just claimed it was a parcel.
Think the most I've done on Central was a frameset. Not wrapped at all. Had to wait for maybe 3 trains to get a carriage that had enough room to get on.
What, any tickets, or just bike reservations? As you say, what a shower.