The ornamental design for the storage container with foot or hand hold down, as shown and described.
FIG. 1 is a top perspective view of a storage container with foot or hand hold down incorporating my new design;
FIG. 2 is a bottom perspective view thereof;
FIG. 3 is a top plan view thereof;
FIG. 4 is a bottom plan view thereof; and,
FIG. 5 is a front elevation view thereof.
The broken lines shown in the drawings illustrate portions of the storage container with foot or hand hold down that forms no part of the claimed design.