Here's the funny thing. That one was done in a Weber kettle.
Split the kettle into 1/3-2/3. 1/3 had a pile of briquettes with a wall of firebricks separating it from the drip pan on the 2/3's. Lit it using a modified Minion method (a couple lit coals over a pile of unlit charcoal). Used 100% hardwood briquettes (Rancher's, the really popular ones from the WSM crowd) with chunks of mesquite and apple. Temp probe in the brisket, and a temp probe in the top vent. Top vent open all the way, the bottom vent nearly closed off (got it to hold around 225-250*F). A bit more cumbersome and hand's on than using a regular smoker but the results speak for themselves.
Personally, my (current) favorite wood is mesquite and apple in a combination. Though, what I really want to use that I haven't gotten to use in ages is dried guava woot. I'm originally from Hawaii and that's what my dad used mostly for his smoking. Imparts a unique taste to the meat.