Nevadavx,
I have crimson trace on all my personal defense pistols and regularly train or give training to others with them on. Not sure of the model you have but mine have an on/off switch as you can turn them off for specific shooting evolutions such as a battery failure and use the fixed sights or a point shooting technique to go with. As far as a using them in a CCW class, unless the instructor has a problem using them, I would as the old saying goes "train as you fight and you will fight as you have been trained" or words to that effect.
As with most weapons you need to establish useful motor skills. If you have CT grips, use them to your best advantage.
Just my humble opinion, as I am sure others will chime in.
Remember the fist fast accurate shot goes home, and that needs to be you!
Stay safe,
SF180A