Here's how I do it, others will be diff.
I cook at around 375* bone side down over direct heat. I will however raise the grate as high as I can in my egg to get the meat further away from the heat. Most times the chicken is done in about an hour.
Here is what it looks like. (the last pic is of the chicken after I removed it from the egg with a foil plate under it to catch the drippings.)
X-Large Big Green Egg