You can grow Calendula in a large pot on a porch or patio. Most cooking herbs are also used medicinally and can be grown indoors in good light. Feverfew is easy to grow and doesn’t take much room. Horehound, Catnip & all the Mints like pots and will tolerate quite a bit of shade. Rosemary works well in a pot. Comfrey thrives in a big pot. Grow Aloe in a pot and divide it every year or two for an unlimited supply. Hyssop is pretty easy.

Here’s a list of herbs that do well in shade, so might be ones you’d like to try indoors:

One of the problems you might encounter if the soil stays too wet is fungus gnats. Watering with chamomile tea can prevent them. If you do get them, mix a teaspoon of ammonia with a drop of lemon oil in about 2 ounces of water and spray the leaves & soil.