The ornamental design for a smokelesstobaccocarrier with spittoon, as shown and described.
FIG. 1 is a perspective front view of a smokeless tobacco carrier with spittoon, showing my new design;
FIG. 2 is a perspective rear view thereof;
FIG. 3 is a front view thereof;
FIG. 4 is a rear view thereof;
FIG. 5 is a left side view thereof;
FIG. 6 is a right side view thereof;
FIG. 7 is a top view thereof;
FIG. 8 is a bottom view thereof; and,
FIG. 9 is a perspective rear view of the smokeless tobacco carrier with spittoon shown with a spittoon cap member in an open position and a cutting blade in a deployed position.