I will assume that your only working days are on weekdays, and never on weekends. Create a new Schedule called ""2nd Working Day of the Month"". In the Working Week section, select Monday - Friday. Saturday and Sunday should be unchecked. Select your Public Holidays, if they are available in the dropdown list. Now, in the Other Holidays section, manually add the dates of the 1st working day of each month in the year. By doing this, you are identifying these dates as non-working dates. In your schedule, select the ""Only on days in the"" dropdown and choose your new ""2nd Working Day of the Month"" calendar. Your schedule will now exclude the first weekday of the month.
Similarly, you can apply this to any number of working days. For example, I created a calendar called ""5th Working Day of the Month"", and I've manually entered the first 4 business days of each month, along with the Monday holidays that we have in the U.S.
These calendars do require annual maintenance, but it is currently the only way to accomplish what you're trying to do.
Best Regards!