i had had the mad algae problem with my tank,
was green hair alage, bluegreen algae and green water, i just incressed the water changes reduced food and turned the light off for a week and omg theres not one spot of algae anywere.
i agree adding more nutriants in this case(not many plants) will make the alage worse.
i would add a heap of plants and that in its self will probley fix it.