We claim the ornamental design for a vehicle rack system with a bicycle-gripping carrier, as shown and described.
FIG. 1 is a perspective view of a vehicle rack system with a bicycle-gripping carrier constructed in accordance with the present invention.
FIG. 2 is a right side elevation view thereof.
FIG. 3 is a left side elevation view thereof.
FIG. 4 is a top plan view thereof.
FIG. 5 is a bottom plan view thereof.
FIG. 6 is an enlarged front elevation view thereof; and,
FIG. 7 is an enlarged rear elevation view thereof.
The broken lines illustrate portions of the article that form no part of the claimed design.
The stippling and shading lines shown in the drawing(s) represent the approximate three-dimensional contour of the design, and are not intended to indicate surface decoration.