It can be beat without chemical additions like peroxide- nothing against that advice, but it is risky, especially if you aren’t exact with dosing amounts.
In my experience and in reality, dinos aren’t a result of either high or low nutrients, but a lack of biodiversity or a disruption of biodiversity.
Dinos are resilient in systems that are unstable, or new tanks with low or no biodiversity, but are easily beaten down and eradicated in a biodiverse environment where they are in competition with biodiversity that outnumbers and outcompetes the dinos.
Increase your biodiversity by adding a bunch, I mean a BUNCH of copepods along with daily dosing of live phytoplankton to add diversity and to feed/help increase pod populations. I would also add more bio filtration by adding more porous material with a lot of surface area and then dose bacteria like MB7 daily following the instructions on the bottle for your tank volume. Better still, get a bunch of bio media and put it in a bucket filled with water from your tank, put in an air stone for oxygen rich environment. Dump in the mb7 dose suitable for your tank volume, and add a small amount of a carbon source (bio fuel, vodka, vinegar, etc) and let the “bath” sit/run for 24 hours. Then add the media to your sump along with the water it was soaking in. - turn your skimmer and UV off for a few hours too. Continue to dose bacteria daily according to instructions for at least 10 days.
That combination will give your biodiversity a fighting chance to destroy your Dino problems and establish a healthy, stable tank in the process!
I like the idea of dosing bacteria, in fact, Dr Tim’s Dino treatment program utilizes a bacteria and blackout approach (see attached picture of instructions from the products)
The fastest option is probably the Dr Tim’s route, but you may lose some snails/crabs/possibly shrimp in the process.
Otherwise, use the approach of increasing your biodiversity, add a UV, and run a blackout period for 3 days and repeat weekly until the problem is solved. Your corals will be fine without light for 3 days.
hope this helps!