For marinade: Combine wine, oil, tarragon & salt. Rinse chicken; pat dry with paper towels. Place chicken in plastic bag set into a shallow dish. Add marinade; seal bag. Turn chicken to coat well. Chill for 2 to 24 hours, turning bag occasionally.
Meanwhile, combine avocados, tomato, garlic, chili peppers (I usually used the canned ones), onions, cilantro, honey & lemon juice. Toss well to mix. Cover & chill up to 2 hours.
Remove chicken from bag, reserving marinade. Grill chicken on an uncovered grill directly over medium coals for 5 minute Turn chicken & brush with marinade; grill for 7 to 10 minutes more or until chicken is tender & no longer pink. Serve with avocado mixture.
To grill by indirect heat: Arrange preheated coals around a drip pan in a covered grill. Test for medium heat above the pan. Place chicken on grill over drip pan. Cover & grill for 15 to 18 minutes or until chicken is tender & no longer pink, brushing with marinade up to the last 5 minutes of grilling.