Hi Shan
You could choose restriction option in process chain scheduler.
When you maintain the start variant of the process chain, choose a start date and time and periodic job as daily. The restriction option is at the bottom as below.
Click on the restrictions button. The below screen will appear.
Choose the calendar id as any general id as your fiscal year variant. The choose the option as Do not execute job on Sundays or Holidays.
This will work for you. We have this setup and it works perfectly.
Regards
Karthik