The ornamental design for the heated hair roller carousel, as shown and described.
FIG. 1 is a top prospective view of a heated hair roller carousel showing my new design;
FIG. 2 is front end view thereof;
FIG. 3 is a rear end view thereof;
FIG. 4 is a left side view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a top view thereof;
FIG. 7 is a bottom view thereof; and,
FIG. 8 is a top perspective view of thereof, including rollers illustrated with broken lines.
The broken line disclosure of the hair rollers illustrates environmental structure. The remaining broken lines illustrate portions of the carousel. None of the broken lines forms part of the claimed design.