It's a road bike so the chain shouldn't need that much service. Dry wipe it to remove as much loose stuff as possible, then lube it with whatever you prefer. Be aware that many of the after market lubes aren't nearly as good as what Campy uses, so you might want to wait a bit longer before using a solvent laden oil.

If you have an ultrasonic cleaner you can thoroughly wash the chain while it' still on the bike. Slip it off the cranks, and let it dangle from the chainstay and wash half the chain. Then advance it and wash the other half. Let it dry completely before oiling it.