Aside from a leaking hose or a hole in the radiator, there are two main reasons that fluid runs out from underneath the right front after a drive: First is that one just tapped a parking lot curb stone and drove a closeout panel bolt through the bottom corner of the bottle..which is unlikely as the story has been told.
More likely is the trapped air in the system has pushed fluid into that non-pressurized overflow bottle AND, as the engine cools down causing a volumetric contraction of the coolant, you are losing the created vacuum required to draw fluid from the overflow bottle back into the system. This would mean more air in the system, less coolant in the system. With more drive cycles, it compounds to your current status.
Have you checked the status of the overflow bottle in front fascia? I am betting that it is full. To check,
Go to the right front wheelwell, locate the narrow, vertical inspection glass which is located in the fender liner in front of the inner edge of the right front tire. Clean this viewport with a damp rag.
Remove the round rubber cover in the front of the passenger side front tire. Then using a small, BRIGHT LED light pressed directly against the overflow bottle, look at the level in the viewport to see if you have an air-fluid level. Again, I am betting that you do not because that bottle is full.
If full, locate the exit spout molded into the edge of that bottle, thread a very solid PE tube retrograde into the bottle with enough length to reach its bottom, then **** the coolant down to where the air-fluid level seen through the viewport is half way up in the viewport. It is easier in a darkened location and with green coolant.
Next, check the reservoir under the hood. If low, fill to appropriate level just below the neck. I usually add a new pressure cap ("radiator cap") this point.
Then start a series of full heat cycle runs...noting the level in the cold overflow bottle and again the level in that bottle when hot just after shutdown.
This will likely take at least a few cycles to determine the status within the overflow bottle.. if creeping up, add a tiny hose clamp to the rubber hose coming off the neck of the pressure tank...just under the "radiator cap" to prevent loss of suction on coolant. Complete more cycles, inspections, whiles watching levels in both bottles.
Remember that no system is "complex" once you thoroughly understand it.
DISCLAIMER: I am not a tech I am not selling anything, and have done all of the above dozens of times over the past 30 years on my own 5 Gen I and Gen II Vipers. Fortunately, none of this applies to our Gen III, IV, or V Vipers.
