One thing that hasn't been mentioned is that if you have problems with algae you will be getting false readings from your test kits as the algea will be consuming the PO4 and the nitrate. So you need to find what is giving you the high and false readings. I would continue with cleaning your sand bed but up to a maximum of 1/3 of the base at a time. Also you don't say how long or what the intensity is of your lights for led reduce red and green down if possible and reduce time down to Max 8 hours per day for all lighting and run your cheato lighting on a reverse cycle to the tank.
Personally I'd stay away from uv if you can they are a pain to set up properly you need to have a pump that pumps at the right gph to suite the size uv and it's not always clear on the uv packaging and then they can't tell the difference between the good and bad bacteria that travel through it they kill all. Good luck
Beneficial bacteria do not travel through the water column on a regular basis. Obviously once the tank is cycled, the rock and sand or Marine Pure, ect... keep the beneficial bacteria within. So you don't run the UV during cycling, that's all.
They're very helpful with algae control, Redox balance, bacteria outbreaks, and to a lesser extent, parasites.
I found a very good ultra high output UV (the TMC Vecton 600) which is 25 watts for $180. That version is 20 inches long and can handle 750 gph at the MAX for level 1 sterilization, which is algae, bacteria and some viruses. This unit is used a lot in Europe, but there's a seller with tons of info on his site that sells them. There's not only Pentair (Emperor) and Aqua UV. Those are the huge ones that are very expensive and do the same job as the TMC (Tropic Marine Centre).
Here's the link:
http://www.americanaquariumproducts.com/TMCUVSterilizer.html#vecton6
They give real world flow rates that work, because they're a maintenance company as well, and have a ton of useful info on the site, not just about UV's. It's owned by Carl Strohmeyer.
I'm setting up a 180 and have 2 of these 25 watt units splitting off the return pump (Ecotech Vectra L1) for each of the dual returns. So a total of a 50 watt sterilizer for around $300+ and ALL the water flows through. It's a worthwhile insurance policy to backup your main filtration and stop a lot of problems before they escalate.
But to each his own.