The ornamental design for a beveragecontainercarrier, as shown and described.
FIG. 1 is a perspective view of the beverage container carrier;
FIG. 2 is a front view thereof;
FIG. 3 is a rear view thereof;
FIG. 4 is a top view thereof;
FIG. 5 is a bottom view thereof;
FIG. 6 is a left side view thereof; and,
FIG. 7 is a right side view thereof.
The portions of the beverage container carrier and the two beverage containers shown in broken lines in FIGS. 1 through 7 form no part of the claimed design.