I think the car is called Remington, the two door low rider. I can trick that vehicle out as much as I want. I always keep one around so I can participate in the low rider minigames.
I had to go back and look through the wiki because I could not remember a car design I'd call my favorite. I love boxy 90s cars but something was just not right with what they put in SA. Apart from the Jester, only the motorcycles looked nice and Blista looked nice (though it peaked with IV).