Need Efficient Query To Partition Records By Type And Pull Top N Records From DB

I have a query similar to the following. The intent of this query is to retrieve the top 6 records meeting the specified criteria (LOGTYPENAME = 'Process Status Start' OR LOGTYPENAME = 'Process Status End' ) based on most recent dates. Please keep in mind that I expect to return up to 6 records for each unique LogProcessName. This could be thousands of different LogProcessNames with up to 6 records for each.

1) The table I am executing against currently is very large in size and thus takes a long time to execute against. It would seem there must be a more efficient query to get the results I am looking for?
2) CTE doesn't work on SQL 2000. I need a query that does.
3) I cannot modify the database itself in the process.


;WITH cte AS (
SELECT [LogProcessName], [LogBody], [LogDate], [LogGUID], row_number()
OVER(PARTITION BY [LogProcessName]
ORDER BY [LogDate] DESC)
AS RN
FROM [LOGTABLE]
WHERE [LogTypeGUID] IN (
SELECT LogTypeGUID
FROM LOGTYPE
WHERE LogTypeName = 'Process Status Start'
OR LogTypeName = 'Process Status End' ) )
SELECT *
FROM cte
WHERE RN = 1 OR RN = 2 OR RN = 3 OR RN = 4 OR RN = 5 OR RN = 6
ORDER BY [LogProcessName] DESC, [LogDate] DESC

Does anybody else have any idea that would yield the results that I am looking for and take into account items 1-3 above?

Thanks in advance.