basil, thyme, sage, cilantro, rosemary, tarragon, and dill. The herb packet has most of those, but not all of t
My USDA hardiness zone is only one warmer than your own so I have all four seasons as well.
If you went with outside:
The thyme, rosemary, and sage will grow all year round. Yes, even the rosemary if you get a hardy one from someone who has been growing theirs outside.
The basil, tarragon, and dill and all annual and last only during the warm season unless you bring them in. But they can remain outside even in cool fall temps if they are protected from wind by a row cover or say on the west or south side of the house.
Cilantro you can grow starting early spring thru fall but it might slow in hot weather. The key is succession planting every two weeks. Dill requires succession planting as well, every 4-6 weeks.
But if you have the extra cash, go for your original plan. You can always plant some plants in your indoor garden and some outdoors and then compare the results for yourself.