Not heard of p/time CC before.
In most cases it is the other way, The Airlines want you 24/7, To work your feet off.
You could try a small operator or even a bizjet operator who maybe only flies a few times a week on business.
The full time salary is only just managable for most, So it wouldn't be worth you working p time with all the tax & ni deductions etc.
Unless the wage is very good.
Traditionally it has always been a very low paid job.
Good Luck In Your Search.