A prodcut join is not bad per se, it might actually be the least expensive plan.
Check the estimated number of rows for the step preparing the join (the one with a "duplicated to all AMPs") and divide it by the number of AMPs in your sstem to get the actual number.
Additonally you might move the ROW_NUMBER into a Derived Table to do it as early as possible, e.g.
FROM TABLE1 LLL INNER JOIN TABLE2 CLL
ON CLL.LOGGING_KEY = LLL.CSA_LOGGING_KEY
LLL.SURVEY_CD = '1010'
AND LLL.SUBJECT = 'HRA'
AND LLL.FLOW = 'WF_LZ_LPR_CLNCLSVY'
AND LLL.PUBLISHER_IND = 'Y'
AND CLL.PUBLISHER_IND = 'N'
ROW_NUMBER() OVER ( ORDER BY CLL.LOGGING_KEY ) = 1
) as LLL
LEFT JOIN TABLE3 ABR ...
And you might rewrite the LEFT JOIN .. WHERE EDW.SURE_ID IS NULL to a NOT EXISTS, which might perform better.