OK. This isn't going to help much, but I can't imagine you getting many responses so I will throw it in.
I put a strawberry plant (at seasons end) in my flood/drain system about 2 months back. It's doing OK. No new berries etc but looks happy (running EC of 1.4ish)
Roots on strawberries are fairly small so that should be O.K.
I would have the strawberries in a soil pot and try to root the runners into the cloner when they appear. (Look up strawberry planters, will give you an idea of what I mean) You may have to wait until the right time of year.
Peppers, chilis and basil are my other favourites. Just pot them up when you run out of veg space
The way I see it, use up all available space with whatever plants you have.
Saves wasted light/electric.
Also helps with nosey neighbours if you have something legitimate growing and they see you with something plant-related.