The ornamental design for housing for LED-based lighting apparatus, as shown and described.
FIG. 1 is a top perspective view of a housing for LED-based lighting apparatus, showing the new design;
FIG. 2 is a bottom perspective view thereof;
FIG. 3 is a left side view thereof;
FIG. 4 is a bottom view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a top view thereof;
FIG. 7 is another right side view thereof;
FIG. 8 is rear view thereof;
FIG. 9 is yet another right side view thereof; and,
FIG. 10 is a front view thereof.
The uniformly dashed lines shown in the drawings illustrate portions of the housing for LED-based lighting apparatus which form no part of the claimed design.