It is none of my business, but I would put the fin/tail back on the car and think about maybe 100 lbs. more up front. If the center of gravity is behind the center of pressure that doesn't mean you can't drive the car straight, but if something upsets the car, loosing traction, wind, or handling like you mentioned then the car is ready to spin. In your case now it looks like the CP is slightly ahead of the CG or they are very close to one another and that can make a situation of something that likes to spin around that point.
In the new picture I'm posting I added a tail that looks to be a little larger than your old tail and put 100 more pounds over the front axle. This moved the CP a fair ways behind the CG. One other observation and take it for what it cost is that the sides of the car from the canopy down are pretty flat front to back, but from the canopy back the top half of the car is very rounded. Nothing wrong with that, but it doesn't have as much effect in moving the CP rearwards, since it is so rounded. The flat faced tail/fin will help a lot with the CP. I also think even a small 4-6 inch high fin running down the top of the car from the canopy back would help to keep the car straight. In effect it would be like an exaggerated "roof rail".
Not trying to butt into what you guys are doing, just making some observations that might or might not be correct
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Sum