Are you saying to take the "internal" valve out and from the top of the case run the small dia tubing? In essence run the drippage to a drain that leads off of the boat.
One suggestion that I have seen on this forum is to take the antisiphon valve out completely and route a small diameter tube to the cockpit right above the forward drain. You can see if the water pump">raw water pump is working and it reduces rust in the engine room.
this works as well,but is probably better for larger engines,i would not reccomend it on 1 or 2 cylinder engines,where the impellor pump has a very small flow.
Another option is to run a hose from the valve to a bottle so the drips go into the bottle. You do have to be careful to empty the bottle from time to time though.