My family of four will be visiting NYC for the first time in mid July and we are looking for a pre-theatre dinner location within close proximity of West 50/ West 51st street. We don't care much for wine/beer, sushi, or any foods out of the ordinary. Italian, American, Traditional restaurants would be great. My parents are frugal and don't want to spend more than $15 a person. We're not big eaters, we would just like a small, inexpensive dinner with a nice atmosphere. Any suggestions would be very welcomed!