Kerry- Yes, on p. 22 of this comprehensive USDA report from 2010 they state "The use of kaolin-clay and sulfur in organic apple systems more consistently and effectively reduced BMSB feeding damage on fruit than the conventional insecticides" (ARS, 2010b). In an indirect contact bioassay surround showed 23 percent lethality on its own, not as deadly as many other sprays, but effective enough as a deterrent it seems. It adds about 20 percent effectiveness to pyrethroids as well.
Soap sprays do kill them, especially the instars (nymphs). I know Dr. Bronners works.
These guys migrate well and flee ahead of loud orchard sprayers and hide under leaves when they see movement. They receive very little contact with residual pesticides because of their physiology and habit of moving in and out of crops, the most effective synthetic pesticides (methomyl, malathion, pyrethroids, and one neo-nicitinoid) have the short residual times as well so control is tough. Farmers around here were talking about going over their annual spray budgets in the first few months of the season and still seeing SBs everywhere. In Asia they have been known to crush up the SB bodies and use that as a deterrent spray (works on people too :).
Killing them as they emerge in the Spring or Fall when they go into diapause (hibernation) is the best way to get their numbers down it seems because they congregate on warm walls and can be sprayed as a mass.
Tim- they feed on many many types of plants, you should take the malathion and target them on nearby ornamentals and trees you find them feeding on to reduce the amount on your tomatoes, avoid the beneficial if at all possible of course so you do not get other pest problems later on. Always spray before you mow (if the grass needs it and the SBs are in the area), if you mow then spray they will go away for the day and then return later unharmed. Some trap crops you can plant include sunflower, soybean, and carrots they also go after paulownia trees and tree of heaven. There is a long list of plants that they feed on as an appendix to the linked report above. Also, spray in the evening or at night, they spend their days resting in tree canopies and feed mostly at night.
The organic sprays that are most effective are M- Pede, Spinosad, Pyganic + Surround, and the two bacteria are called MBI 203 and 206, they produce a protein that kills the SBs and live bacteria are not needed for an effective spray.