This almost works based on a post by The Dixie Flatline here:
http://www.sqlservercentral.com/Forums/Topic649517-1472-1.aspx
His table has weekends in it, mine doesn't. I'm not sure where I can put the weekend restriction. My futile attempt to ungracefully add IF DATEPART(weekday, @future_date) = 7 fails because it is not 'holiday-aware'.
This can be demonstrated by setting the date to '2/15/2013'
set @start_date = '2/15/2013'
CREATE TABLE #Holidays (HolidayDate datetime, IsHoliday char(1))
INSERT INTO #Holidays (HolidayDate,IsHoliday) VALUES('2013-02-18 00:00:00.000', 'Y')
INSERT INTO #Holidays (HolidayDate,IsHoliday) VALUES('2013-03-29 00:00:00.000', 'Y');
declare @start_Date datetime
declare @future_Date datetime
declare @bizDays int
set @start_date = '2/1/2013'
set @bizdays = 1
select
top (@bizdays) @future_date = @start_Date + n
from tally t with(nolock)
left join #Holidays h with(nolock) on HolidayDate = @start_Date + n
where HolidayDate is null
DROP TABLE #Holidays
select @future_date
IF DATEPART(weekday, @future_date) = 7 SET @future_date = DATEADD(day,2,@future_date)
IF DATEPART(weekday, @future_date) = 1 SET @future_date = DATEADD(day,1,@future_date)
select @future_date