Set the EGG for direct cooking without the convEGGtor at 350°F/177°C.
Soak skewers in water for 30 minutes before using. Slice chicken on bias in thin pieces.Marinate chicken in a bowl with lime or lemon juice, oil, salt and pepper for 10-20 minutes.
Weave chicken with peaches and Vidalia onions onto skewers (you can cut chicken and just alternate with peaches and onions).
Grill skewers about 4-5 minutes per side. While skewers are cooking melt jelly in microwave. Brush skewers on both sides when you turn them. Garnish with fresh basil cut in ribbons.