Thanks for setting me in the right direction...

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 @StartDate DATETIME

SET @StartDate = '2/15/2013'

SELECT

MIN((DATEADD(dd, DATEDIFF(dd, 0, @StartDate), 0) + n))

FROM TALLY T

LEFT JOIN #Holidays H

ON HolidayDate = (DATEADD(dd, DATEDIFF(dd, 0, @StartDate), 0) + n)

WHERE

HolidayDate IS NULL AND

DATEPART(WEEKDAY, (DATEADD(dd, DATEDIFF(dd, 0, @StartDate), 0) + n)) NOT IN (7,1)

DROP TABLE #Holidays