There are many varieties of mint that do well in a hydroponic system, because they enjoy wet conditions. Mints spread quite a bit and should be given enough space. Other than this requirement, your chosen mint whether it be peppermint, spearmint, ginger mint or another type of mint should produce nicely for you.
Basil is another herb to plan to grow in your hydroponic garden setup. The moist conditions provided to the herb through this system actually enhance its flavor. As with other plants, your yield will most likely increase with using hydroponic methods of gardening. Many other herbs do well too, but you need to check the growing conditions they need to make sure before planting them.