We claim the ornamental design for a electronic device case with stethoscope, as shown and described.
FIG. 1 is a perspective view of an electronic device case with stethoscope showing our new design;
FIG. 2 is a front view thereof;
FIG. 3 is a right view thereof;
FIG. 4 is a left view thereof;
FIG. 5 is a bottom view thereof; and,
FIG. 6 is a top view thereof.
The broken lines showing represents portions of the unclaimed portions electronic device case with stethoscope and forms no part of the claimed design.