The ornamental design for a handrail for a treadmillexerciser, as shown and described.
FIG. 1 is a perspective view of a handrail for a treadmill exerciser showing my 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 side elevational view thereof;
FIG. 6 is a top plan view thereof;
FIG. 7 is a bottom plan view thereof; and,
FIG. 8 is a perspective schematic view illustrating a handrail showing my design disposed on a running exerciser. The broken lines shown in the drawing are for illustrative purposes only and form no part of the claimed design.