The ornamental design for a barbequemistingcaddy, as shown and described.
FIG. 1 is perspective view of a barbeque misting caddy showing my new 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 top view thereof;
FIG. 7 is a bottom view thereof; and,
FIG. 8 is an enlarged view of the portion shown by the encircled broken line in FIG. 1.
The broken line showing of potions of the barbeque misting caddy is included for the purpose of illustrating environmental structure and forms no part of the claimed design.