I have no problem mixing brands IF you have experience with how they work together. My instinct tells me to use an intercoat, or "mid coat" clear between the color and the flames, instead of a top coat clear.

That should reduce the chance of the BASF clear peeling later.

If you use a top coat clear first, you need to shoot a minimum of two coats, or the hardener may not work. Then you would need to sand it well, then use an adhesion promotor and then interim clear before the flames. Too many unecessary steps, and expense.