I'm a Master Gardener, with the University of Maryland Extension Service, Montgomery County, MD. I took my basic training last year and can tell you that I heard many lectures about Stink Bugs - how they got into this country, the damage they have caused to the agriculture industry here, particularly on the Eastern Shore and what the State of Maryland Agriculture Dept. and US Fed Ag Dept. are doing to stop their spread.
The Point of Entry was here, in Maryland. Adelphi, Maryland to be exact. They arrived - from China - in boxes filled with packing materials. Unfortunately, they left their natural predators at home, in China.
But, the Chinese Gov't has been actively working with Fed. and state Agriculture agencies and land grant universities (like U. of Maryland) to limit and/or stop the stink bugs migration into anymore states.
Praying Mantis bugs love to eat Stink Bugs. Here, in Maryland, large numbers of these predatory bugs will be released in communities, counties, cities and towns throughout this state.
There are no plants that repel Stink Bugs. If this were the case, the infestation could and would have been stopped several years back.
When you find stink bugs in your home or on your property, you need to put them into soapy water, which is the only way to kill them, besides squashing them - which isn't a good idea because that's when they stink.
Homemade Stink Bug trap:
Take an empty mayonnaise jar and fill about on quarter of the way up with water and a few squirts of dish washing liquid. Put the top on the jar, shake, take the top off of the jar. Use the lid to scoop Stink Bugs up and into the jar.
Flushing Stink Bugs down the toilet does not kill them.
Actually, if you go to the University of Maryland Extension Service, Home and Garden and type in "Stink Bugs," or type in Dr. Michael Raupp (The Bug Man), you can watch videos about these bugs and watch demos about how to trap them. Also, why their presence here in the US is such a serious problem. Also, you can watch a video of a Praying Mantis munching on a stink bug. (Ick.)
Hope this helps,