I found the recipe (linked below) for Grilled Chicken Quesadillas in the Daily Foodbuzz Top 9. It is brought to us by the Sea Salt With Food blog.
This is definitely a dish that will make one happy after the onset of the warm weather in New England.
My first pairing suggestion will be beer, and Hefewiezen specifically; served with a lemon wedge. Widmer Brothers in Portland, Oregon makes what they call America's Original Hefeweizen. This is the signature beer for Widmer Brothers a brewery with a great story hailing from a city teeming with craft brewing lovers. Wheat beers like Hefeweizen are generally light and gentle which results in the ability to pair with a range of flavors including citrus, spices, greens and lighter meats. This recipe includes all of those things and I think this pairing is not to be missed.
For the wine drinkers I am going to come closer to home and recomend a dry Seyval Blanc. Another subtle beverage with light flavors, the wine should allow to food to be easily found and in good balance. The acidity in the wine can stand up to a bit of citrus and a slight hint of sweetness can fend off any spice or heat in a dish like this. LaBelle Winery in Amherst, NH makes a dry style Seyval that would be a good fit.