I am also experiencing the brush algea problem. I have been told by many that a blackout will not help. Instead, it was suggested to me to:
1. prune away any leaves that have the algea on them
2. scrape off algea from any equipment OR take out equipment (filters, heaters) and put them into a bleach solution to kill algea (rinse and put in water with declorinator before returning to tank)
3. do a 50% water change
4. add nutrients: KNO3, K2SO4, KH2PO4, trace (like maybe flourish)
5. be sure CO2 is at desired levels! This should actually come before the nutrients (check pH and KH against a chart -- there are many on the web)
6. add nutrients again 3-4 days later
7. do everything all over again the following week for 2-3 weeks
I have begun this plan just this past weekend and am seeing good results already!
Oh, just to answer your question about the blackout -- in my experience, I tried a blackout for 5 days to get rid of some green water a few years back. Worked like a charm as far as the water. I lost 2 fish though. I don't think it was due to the blackout though. They were already knocking on death's door.

Usually, fish due just fine in blackouts.
GOOD LUCK!