Naca wants a check because they want to see the routing number matches the exact account account they have on file with you. They don’t have your debit card number because that would violate identity fraud practices. Your debit card number is not linked to your routing number in a way that is legal for naca to find out.
I find it unusual you have an inspection on Sunday. Did you just schedule it this afternoon? You should have been able to go to the bank today or yesterday.
I would call your home inspector or go to their website and see what they say about payment and rescheduling.