Hopefully a new breaker will do the trick - 20 amp vs. 15 amp.
I may have missed it if you mentioned it because my eyesight is bad and getting worse every day, but I assume that the circuit is wired with at least 12 gauge if not larger? If not, you would not want to use a 20A breaker. I was only checking because I was thinking that this may have been the reason you currently have a 15A breaker in there now.
Square D makes 'High Magnetic' AFCI breakers that are less prone to nuisance tripping, but I don't know if they would even fit in my panel. I'm not sure if Siemens makes a similar product.
As far as this goes, I am not an electrician, but it has always been my understanding that using a breaker that is not the same brand as your panel can cause a homeowner's insurance company not to pay out in event of a fire.