No info on getting your meat smoked for you, BUT, for picking up "prepared meat" / "We like to have something unique that most people wouldn't normally have."
Jerk Chicken? - Trays are surely avail at any of the many Jerk joints - pick yer fave.
Indian kababs, botis, or gravy dishes? - again, most Ind joints have a catering section on their menu.
Tip / link trays? E. 69th street, baby! From personal exp ordering trays, Mack will hook you up!
Thai fried chicken do anything for you?
Just some quick thoughts.
We cannot be friends if you do not know the difference between Mayo and Miracle Whip.