The OP wants "Off the Beaten Path"
OK.. How about....
1-The burger place on Avenida 5, between calle 3 and 5.. This is just a little stand. Two guys grilling on charcoal.. Hope they are still there in July..
The burgers are grilled as you wait, and be prepared for a wait...however, soooo well worth it. I think the price is around $5.00 USD for a nice sized burger.. There are some plastic tables to sit at, or Take Out
2-los chilango's on AVE 10 | between calle19 south and Xel Ha (calle 15 south), this is a concina economica..open around noon until maybe 5ish? Go in, sit down,order from the chalkboard menu on the wall or point to someone's entree and say you want that. You will then be given a Mystery soup, a mystery juice and then served your entree which includes rice...I get the breaded chicken cutlet which is the size of a dinner plate. The price is around $6.00 USD.
3-Asadero El Pollo-Avenida 30 between Calle 3 and Morelos . A whole, grilled chicken, cut up. A baggie of rice, salsa, and tortilla's. The price is around $9.00 USD. Take out
4-La casita de Indo333...Rosada Salas, between Avenida 5 & 10. Hope it still there in July and hope they still have BBQ night...Yummy. Sit down on sidewalk or take out.
5-Blue Angel Restaurant Located adjacent to the Blue Angel Resort. On Melgar, south of town. One short flight of stairs up to a beautiful view. Sit down, relax, enjoy !