Advice? Algae Cycle Experience

What's everyone's experience with the algae cycle (or nutrient cycle) been like? Based on what I've read it sounds like when setting up a new tank you can expect a brown algae followed by cyano and finally green. Does that sound right? How much cyano would be "normal" (understanding your experience may vary) for this part of the tank maturing process?

I've been fighting a pretty extensive cyano outbreak for about a month and a half and I'm wondering if it's all normal or, based on the amount in the tank, if I have something more serious going on. I'm using RODI water, Instant Ocean and feeding small amounts of food(pellets or frozen) every other day (3 fish). Currently the tank if FOWLR so I'm not dosing anything and I'm using some airline tubing everyday to every other day to siphon the cyano from my rock and sand. It's a 65gal tank and each time I siphon it's basically the entire sand bed and 1/2 of my rock; I usually end up siphoning out 4-6 gal of water each time.

It doesn't appear to be a low flow issue as the cyano gets about 2-3" long, when I go every other day on the siphoning, and is clearly whipping around in the current and tying itself in knots. I'm running 2-165W LED lights with independent white and blue knobs. I tried increasing the intensity of the white after reading old t5 bulbs could lead to cyano and also reduced the amount of time they're on each day. A lot of people have had success with 2-3 day blackouts, but I've also read it gets rid of the algae for the time being but it quickly comes back.

I siphoned yesterday and thought I saw some hints of green algae mixed in with the cyano so maybe I'm on the downhill side of this but any advice or shared experience is appreciated!

 

Here is an older pic but is what I've been dealing with. Nitrates are at 5ppm and phosphates are at 0ppm. I used live rock from the LFS, some dry and some they had in water. @MadManMadrid the brown for 3 weeks and then the red slime string stuff is about what happened to me. Tank has been setup for only 3 months which is why I'm thinking(hoping) maybe this is normal and with time, WC, and patience it'll clear up. I had to leave town early this morning but will try to get a better pic of the tank tonight. Thanks for the replies!

 

I'm doing about a 37% water change a week right now by siphoning off the 4-6gal every other day with an airline hose, should I try doing more than that over a week? Are you thinking I need to use larger gravel vacuum @blackx-runner and get down into the sand rather than just siphoning off the cyano? A yellow goby was on my list of fish I'd like to add to the tank, maybe a yellow watchman goby? Problem (maybe) with adding another fish is my QT is currently down as I had been filling it with water from my DT, which I stopped doing with all the cyano. I had previously put a sponge filter in the DT for a couple of weeks before putting it in QT (throwing it away after I was done with in it QT), do you think with the cyano it would be a good idea to put one in there? Maybe I should just cycle the QT tank separately or think about skipping QT on a goby? I'll check out the LFS for conch snails tomorrow as I think they carry conchs bigger than the nassarius in there now. I've got a melanarus wrasse who is a jerk apparently and eats the nassarius unless I kind of bury them when I introduce them so I was thinking of getting larger snails anyway, maybe turbos? I think the problem with them is they have the tendency to knock over corals.

 

Thank @Turbo's Aquatics, it sounds like everyone's experience is it will eventually go away which is encouraging. Other than it being kind of unsightly, are there are downsides to cyano? I've read it can get on your corals and cause problems, but not having any yet I'm wondering if I could speed up the process a little bit by just leaving it in the tank and letting it use up all of the nutrients?