So i made the skin concpet, maybe not perfect on renders, but looks nice ingame. Like You wanted, i haven't placed any sponsors etc. Only team name and logo.
I used the colors as You requested, the red is a little bit darker, the strokes are in white and front is dark grey (same tone as Your logo).
Quality is not good, but You got the angle, now turn the wheels to the left (driver side) and go to a level of ground and turn the camera about 10 degrees clockwise .
But that's just my thought , You can try Your own views also .