Answer: You can grow all kinds of flowering plants inside your screen room. Bees transfer pollen which helps flowers set seeds. Without insect activity your plants will still flower, they just won't set seeds. Here are a few tropical plants to consider:
Kentia Palm, Sentry Palm, Lucky Bamboo, Money Tree, China Doll, Dracaena compacta 'Janet Craig', Rubber Tree, Swiss Cheese Vine, Spider Plant, Umbrella Tree, Calathea, Cast Iron Plant, Caladiums 'elephant ears', Parlor Palm, White bird-of-paradise, Pathos vine, Corn Plant, Bromeliads, Peace Lily, Alocasia, Ming aralia, Wandering Jew, Anthurium, Buddha's Hand , Watermelon peperomia, and Gerbera Daisy.
Enjoy your screened in garden!
Q&A Library Searching Tips