Rock Anenomes, Red Slime Algae, and What to Do

Once of my aquariums is a 29 gallon biocube. I am having a red slime algae problem. I have a couple of questions of the proper steps to take to solve the issue.
Ok, so the inhabitants of this tank are:
8 Rock(Flower)Anenomes
2 Mandarin Gobies
1 Rose Bubble Tip
1 Rainbow Bubble Tip
2 Sumarian Maroon Clowns
2 Feather Dusters
4 Cocoa Worms
1 Greek Goddess Nudi
1 Pink Cucumber
1 Orange Brittle Starfish
1 Sun Coral with about 15 heads
CUC is blue leg hermits and astrea snails

The Equiptmetn is
Stock Lighting w/ led moonlight upgrade
1 Coralife Biocube Protein Skimmer
1 Coralife Biocube UV sterilizer
1 250 GPH Pump (came with the cube)
1 250 gph powerhead in the tank
Media is live rock, and I have filter floss over top
No carbon

The tank has been up for 7 months and had inhabitants for 6 months. I just started having problems about 2 months ago. I feed:
Every Day-5mL of Coral Smoothie, a few(5-10) pellets for the clowns. I take a 20 oz bottle and cut the bottom off, then place it over the sun coral and squirt the coral smoothie. Leave it there for 30 minutes, then I remove the bottle and squirt water around the coral to scatter the leftovers.
Monday and Thursday-normal feeding, plus a 1/4 teaspoon each of goni power, zooplankton powder, and phytoplankton mixed with prawn eggs and 1 cap coral smoothie. I mix this in a cup with tank water, then pour it in front of the powerhead. Unplug skimmer and pump, let sit for 30, then turn back on.
I also randomly feed the nems meaty foods about once every two weeks.
Lighting-8 hours a day

NOW-I'm of the opinion that
1. 8 hours is too long for lighting
2. I should bump monday and thursdays feeding down to monday
3. I may have too large a bioload because of the 8 flower nems.

My main questions are.....am I correct with number 3?
and
how do I lower the length of lighting without negatively affecting my nems?
I understand they need a lot of light. I have lost 2 bubble tips, but I think that is becasue of the water quality not lighting. I would like to drop down to 6 hours, but I fear that 6 hours of stock lighting may not be sufficient.....lets hear it guys!
Thanks!
Matt

 

Hi Matt, I would really like to see the tank.

You're logic as to the reason for the chronic cyanobacteria seems sound. Too many nutrients in such a small volume of water. You do feed a lot for that size of tank. The anemones and mandarins probably love it (sun coral too) but the balance is too delicate.

Your valid options as I see them are

1. Larger tank
2. Carbon dosing/or bio-pellets.
3. Algae turf scrubber

The type of live stock you acquired requires larger more frequent concentrations of food.

 

No prob!!! Heres some pics.

So it's doable? What are algae turf scrubbers?
Unfortuneately, a larger aquarium is out of the question. My girlfriend would absolutely die. I have four, 2 30's and 2 90's, plus two hospital. Not happening
Thanks for your input!!!

 

I can't figure out how to upload a zip.

 

And what are bio pellets? And, is it possible to drop the lighting down to 6 hours?