Here in PA we were invaded with stink bugs about 10 years ago. The last couple of years has been much better since natural predators have increased their populations and have gone to work.
To catch and kill stink bugs, swish them into a container with dish soap and water. If you use a flat sided container, your success rate will be better. Put the container under the bug with the flat side against the wall and flick the bug downward. They usually drop from their position when disturbed. Substituting toilet cleaner for the dish soap is even better.
When you find where the bugs are coming in, wash that area well because they leave a trace smell behind as a marker for their access points.