I don't know about LA, but in Oklahoma, and 2 other states I'm familiar with, use of reloaded ammunition in state-required CC classes is prohibited.
Second problem: If you are using a semi auto pistol in 10mm, it is easy to load down to .40 S&W, but then the pistol may not operate properly without changing to a lighter recoil spring. Please don't show up at class with a gun that does not work 100%.
As an instructor, I appreciate people who bring a gun/ factory ammo combination that they routinely use and can shoot through the required course without fumbling and malfunctions. I wonder at people who don't have a clue how to load or hold their gun, and can't shoot 5 shots in a row without jamming; this is for self-defense?
Regarding noise: proper hearing protection is required, for any pistol. For an indoor range, I use plugs and Pro Ears muffs, because indoor ranges bounce the sound back.