What people tend to do is focus on the algae, often at the expense of the plants.
Been there, done that. As many like to say, fix the underlying problem. If the plants aren't growing, that should be addressed early. One reason plant's can't grow is if they're covered in algae. Physical removal (toothbrush, vacuuming, clipping leaves) enables to plants to start growing.
From your bulb list, it sounds like you have a T5NO bulb in a T5HO fixture? Hoppy et al, does this generally work?