The ornamental design for a hands-free hair dryer system, as shown and described.
FIG. 1 is an isometric view of a hands-free hair dryer system showing my new design;
FIG. 2 is a front elevational view thereof;
FIG. 3 is a rear elevational view thereof;
FIG. 4 is a left side elevational view thereof;
FIG. 5 is a right elevational view thereof;
FIG. 6 is a top plan view thereof; and,
FIG. 7 is a bottom plan view thereof showing my design.
The broken lines illustrating stitching on the hands-free hair dryer system represent portions of the article that form no part of the claimed design. The hair dryer shown in broken lines represent environment and forms no part of the claimed design.