I shoot in what I guess would be called a modified weaver, with my upper body no more than 10 degrees from perpendicular to the target, but my hips about 60-70 degrees canted to the right. It works for me. In a fighting stance for staff, knife, hands, whatever, my upper comes more in line with my lower body.
My presentation is an up and out technique with my off hand meeting up with the gun hand about 2/3rds of the way to full extension of my right arm. This allows for my off hadn to not be a practiced part of the immediate presentation, in case it is busy when that crucial first shot is needed.
I find this works great for point shooting, and allows me to focus on the sight if I need to. I am not looking for the sight during the presentation though, as I believe the Cooperites do.
Kod-
If you havne't already done it or arn't doing it, start your shooting WITH the donut, ticket book, or whatever in your hands. It changes things dramaticaly. I've seen having to drop something add a full second to some very capable shooter's presentation times. I practice throughing the clibboard, whatever at the target as I start the presentation. (After the first "doh!" I learned to use something besides my real clibboard (Hello, Gall's? I need another ticket book please..)).
Our core group has a time during most of our sessions when one person is "rangemaster" and the other guy or two is Hot and the targets are up. Will will have different designations for each silhouete (usually colors). While the shooter(s) is actiing out different scenarios the rangemaster will call out "BLUE,RED..UP!" or whatever and we react to and engage the designated target(s). Variations abound, including haveing one person designated as a bystander or protection client. The Rangemaster can call out "body armour!" during the engagement, requiring the appropriate reaction, etc. All non-hot targets are considered innocent bystanders. We use Tactical Ted Targets and Various stands and pieces of old furniture to create a three dimensional target area.
A good entry level deal, once you've covered drawing and firing, moving and firing, and st up an appropriate range, is to have the shooter walk in a figure 8 about 5-10 feet from the target. Make sure that the extreme left point of the 8 doesn't require a dangerously oblique shot on the right hand target and vice-versa. Then, as the shooter walks, the Rangemaster calls out as above. After a few engagements, you will have hit on a variety of presentations.
I think moving and shooting is one of the MOST overlooked aspets of training and practice.
This is pretty advanced back yard gun work, but once you get to a certain level, I think training in the most realistic way possible is very important.
(Standard Disclaimer: please don't shot yourself or someone else or your clipboard if you decdide to try this stuff out...)