Treat yourself to a gourmet lunch or dinner for one.  With your favourite foods in mind, or a desire to have your palate wooed, enjoy some time researching fine dining choices in your community.

Book the reservation. Dress, appropriately, up.  Budget for a taxi so you can also enjoy a glass of wine with your other delights.  

It's certainly tempting to take a friend, lover or book on this outing.  Better to save that idea for another time.  To be valuable as an Artist's Date, you must savour this all on your own.