You should qualify with the piece that you will actually be carrying.
Louisiana CHP classes are a joke. The only way they are of value is by going to a course that offers education beyond the state requirements.
Qualifying with the "piece" you carry is irrelevant to your ability to win a gunfight. In my first class, at least 80% of the students couldn't hit center mass at 3 yards. I was the only person in the class with a full size gun, and only two folks had compacts. Everyone else had sub compacts and micro pistols.
My ears are burning. My wife and I are going tomorrow to get our cwp, yes that's what it's called in South Carolina. I'm taking my Kel-Tec pf9, she's taking a Beretta Tomcat. I would rather take my Glock 19, but my father-in-law has it and quite honestly I will probably carry the pf9 much more than the g 19.
Concealed carry classes are quite possibly the lowest skill level "training" you can take. I use training loosely, because it's not even training. It's essentially a classroom portion and a qualification to make sure you can safely handle a firearm. Sadly, many people do not pass, and sadly, many do...
I really wish people would attend a basic firearms course before going to a concealed carry class. The majority of first time shooters are willing to learn, but many people that go to a concealed carry class are either scared or overconfident in their abilities. I can't tell you how many times I've heard people explain to the instructor how they will just "shoot the bad guy in the knee."