Zenobia in front of the hotel, across the road, half hidden is a family business run by two friendly brothers who have a short lunch and dinner for groups typical mensaf to order (and no tourists). But if you're tired of the ruins and suffocated by heat, have a small swimming pool where under the palms of your oasis. Tea and dates at will. Very simple, but cozy.
In Palmyra, as in Syria, for the entry fee to the sites offer significant discounts to persons possessing the international student card, as long as you have no more than 26 years. As large numbers of visiting monuments in the country would be a great savings.