One option is to install a condensation trap in the vertical riser - that way any condensation that occurs and runs down the sides of the pipe is caught and then needs to be plumbed into or vented. That way the water from the trap flows under gravity down the 2-5deg down angle and out of the roof into a waste pipe or out of a pipe under the eaves so it's expelled clear of the walls.
Like this:
http://www.vent-axia.com/range/condensation-trap.html
You then put the fan below the condensation trap so the water flows out before hitting it.
If the condensation is dripping inside without touching the walls that trap isn't going to help. The problem of why the condensation drips can be rectified by a small angle so that the condensation is forced to hit the side of the pipe..