First, AF and KL flights aren't available except at Low redemption levels. Awards at Medium and High levels are only valid for travel on flights operated by Delta or Delta Connection Carriers. You may find long stretches where Low award inventory is not available.

If you're not inclined to call Delta, Denolloyd's search technique can work. He describes it in detail. The method is not exclusive to Business class searches.

http://www.flyertalk.com/forum/delta...ss-awards.html

I have found that lots of carriers and routings will pull up in searches by schedule that are not displayed in searches by price (mileage levels).

AF and Alitalia award inventories are displayed by ExpertFlyer. Delta hasn't denied availability for any AF inventory I have found on EF.