How did you prep your chicken? Whole, spatched, halved or cut into parts? Are you doing beer can chicken?
Whatever the method, you are likely going to want to keep all 4 vents on your Brinkmann wide open. you want as high a temp as that little box will give you, 325˚-350˚.** I've never used the square Brinkmann with sand in the water pan so I'm not sure on it's effect. I know with water in the pan and a grill wok as a charcoal basket I've struggled to keep temps over 200˚ in the old single door square Brinkmann, so you may wanna think about dumping the sand and just running an empty water pan as a diffuser. The timing will depend on how it's prepped. Couple hours for whole, little over an hour for spatched, halved or parts. 4+ if you leave it whole and go 225˚.
**I'm not a fan of low and slow on chicken, hence the high heat recommendation.