Strawberries will get pot bound, not to mention they won't survive the winter unless you live in mild winter area.
i think you need something that will have smalller root systems and/or drought tolerant. I have pineapple tops rooted and growing in 6inch pots. Smaller rosemary, Aloe, Christmas cactus, seedling pomegranates and citruses, fuchsia.... I had thyme And tarragon in 6" pots last year but they escaped and established themselves in the ground