Well, you're "selling out" anyway, but you'd "sell more" if you at least put Mesa, AZ on it and it would add $0 to your production cost.
Leaving year off is good if you're anticipating having leftover stock and want to hustle it at the next one. Your regulars are going to want the year on it, though.
I made more money by the hour selling t-shirts/koozies/hats than I did until I was 35 at a desk job. NOTHING went out of that shop without St. Croix, U.S. Virgin Islands on it. Didn't matter if the customer asked for it or not.