Mmm... you got most of that wrong :/. More lsd accel = more oversteer whilst more lsd initial = more understeer. Also, for controlling weight transfer you have to tune the dampers, not the spring rates. Finally, high front compression rate means the nose will take more time to come down under braking, high rear extension increases understeer and high rear compression increases oversteer.
For the Challenger I would recommend first of all to lower that initial lsd rate, 50 is way way too much and you will be understeering all the time. You want to start with something like 10 and see how it goes, and I would also say that 30 accel is pretty high and you will be suffering from corner exit oversteer, so lower it. On sport tires you should be somewhere between 10-20, and 15-25 for racing tires.
Then you can modify the weight distribution to something rear-biased so the car is less likely to oversteer on corner exit (and as a bonus, it will be faster in a grid start due to better traction), and if you are still oversteering on corner exit, add some positive rear toe.
Also a high front extension and low front compression (you can start with something like 8-3 for example) so the car suffers less from corner entry understeer, and something like 2-3 or 3-4 anti-roll bars to help mid-corner understeer. This can induce oversteer if your rear dampers are too high, so fine tune it using rear toe and initial lsd until you find yourself comfortable with it. Brake balance is also useful for corner entry understeer, more rear biased = more oversteer.
Springs can be used too to increase oversteer or understeer. They are backwards in GT5, so higher front = more oversteer and higher rear = more understeer. Personally I don't like running too extreme spring values on anything that isn't race tires, but sometimes for really understeery cars it can be useful to raise the front rate and lower the rear if everything else doesn't seem to be enough.
Finally you can raise front camber and lower the rear camber for better corner entry, but do not lower the rear too much or you might end up spinning in a sweeper.
Hope it helps.