Staycation staple JW Marriott San Antonio Hill Country Resort & Spa is fewer than two weeks away from adding wood-fired, Neapolitan-style pizza to its roster of dining experiences, resort officials said Monday. JW Marriott teased plans for its Fiamme Pizzeria this spring but offered no firm opening date. Now we know the spot will begin serving flame-kissed pies along with appetizers, salads, desserts and cocktails on Thursday, June 20.