We also LOVE to BBQ, but on nights when time is tight, we nuke it! I personally do not crock pot chicken well, but you can have dinner ready in under 30 minutes cooking 3 lbs of meat alone!
Put your meat in a nukable dish and simply season it how you want it, I like to cook with the "top" down so the juices run through it (season the backs), half way thru being cooked, flip them and season the top cooking til done.
Throw bisquits in the oven and begin nuking veggies, letting the chicken settle, by the time the bisquits are done, veggies should be done, then serve!
We do this with a pretty large variety of seasonings because chicken is SO inexpensive and we tend to eat alot of it.
You can also nuke the chicken with your favorite BBQ sauces, or try marinades to---we LOVE the teriaki (? spelling ?) chicken. You can also do rubs in the microwave to.
HTH Good luck