I just want to share the code I created that might help you.
DECLARE @MyCounter int = 0, @TempDate datetime, @EndDate datetime;
SET @TempDate = DATEADD(d,1,'2017-5-27')
SET @EndDate = '2017-6-3'
WHILE @TempDate <= @EndDate
BEGIN
IF DATENAME(DW,@TempDate) = 'Sunday' OR DATENAME(DW,@TempDate) = 'Saturday'
SET @MyCounter = @MyCounter
ELSE IF @TempDate not in ('2017-1-1', '2017-1-16', '2017-2-20', '2017-5-29', '2017-7-4', '2017-9-4', '2017-10-9', '2017-11-11', '2017-12-25')
SET @MyCounter = @MyCounter + 1
SET @TempDate = DATEADD(d,1,@TempDate)
CONTINUE
END
PRINT @MyCounter
PRINT @TempDate
If you do have a holiday table, you can also use that so that you don't have to list all the holidays in the ELSE IF section of the code. You can also create a function for this code and use the function whenever you need it in your query.
I hope this might help too.