Brad,
If someone tells me they're serving barbeque, I always ask them if they know the difference between grilling and barbecuing. If they can't tell me, then I know it's probably something grilled. As I stated previously, most folks don't know the difference because so many manufacturers, restaurants, etc. call something barbequed when it isn't. Think about barbecued chicken sandwiches - usually they're nothing more than roasted chicken with a bbq sauce slathered on at the last minute. Doesn't make it bad, it's just not true 'cue by a strict interpretation of the term.
I expect that all of the above may be served, but one thing is constant - it is cooked low and slow. If it's not, it's not 'cue. Again, doesn't make it bad, just not 'cue.
You may wish to look into making your own cooker. The Bradley is nice (they have one in Kitchen Stadium on the Iron Chef America show on Food Network), but they require you to use the little briquettes. The Cookshack is also nice, but I wonder if you can do both cold and hot smoking? They way they're built, I don't think so. Cold smoking is done at temperatures of about 70-100 degrees, and it's hard to do that in a single chamber (I've tried it). The Cookshacks are electrostatically controlled for 100-250 degrees, so if you're looking into cold smoking, say, salmon, or bacon, they you may wish to build your own.
Building one's easy. All you need is two chambers, some dryer or metal ducting, metal flashing or other material to seal off the ducting, a hot plate of some type, a cast iron skillet, and a small fan. Basically, you can make racks in one chamber, hang or place the meat on the racks/hooks, run the ducting to the other chamber, then place a fan (run electrically) in or near the duct to guide the smoke into the main chamber, and place your hot plate/pan in the bottom of the second chamber. The fan will move the smoke into the main chamber, but becuase it is ducted it cools and therefore does not cook the food. Like I said, if you're doing bacon, salmon, other smoked fish, etc., this is what you'll need. If you're doing hot smoking, then a BBQ cooker will do.
I have a small hamper type smoker at home, and I've done hot smoked salmon with it. I'm going to put a rheostat in it so I can control the heat, and therefore the temperature for cold smoking, since I do cured/smoked salmon at home. I picked it up at BBQs Galore (
www.bbqgalore.com); you might want to take a look at their site.
Each part of the country has their favorite form of BBQ as you know. For myself, I love it all - chicken, beef, pork, just about anything. I have cue in Texas, KC, Memphis, and in Carolina. Can't say there is a style I don't like.
Anyway, best of luck in your search for the greatest cue!
Alan