Scott, I usually don't like to keep my pepper plants through the winter because I start new ones for spring. I had in previous winters kept one or two hot pepper plants to use in cooking, they are hardier than the sweet ones and do better without bugs or disease, my experience with the shishito are that are very prolific and what is best they perform well in the hot summers when the sweet ones are getting down, they are also small plants so if you have them in containers I would move them to a sheltered spot.

Here are some of the shishitos that I planted on a previous season

Silvia