The ornamental design for a beveragecontainerholdingdevice, as shown and described.
FIG. 1 is a top perspective view of a beverage container holding device, showing my design;
FIG. 2 is a front view thereof;
FIG. 3 is a rear view thereof;
FIG. 4 is a left side view thereof;
FIG. 5 is a right side view thereof;
FIG. 6 is a bottom view thereof; and,
FIG. 7 is a top view thereof.
The broken line showing of parts of the drawings is included for the purpose of illustrating portions of the beverage container holding device and forms no part of the claimed design.