Mites are probably one of the most difficult pests you will encounter. I know that has certainly been the case here. The trouble is, most of the stuff we use to try to fight them is only effective against mites for about 2 weeks. The sad fact is, you will probably never entirely eliminate the mites but only will be able to manage them - get them to a level that your birds can tolerate.
Number one: treat all the birds with one of the "mectins". And make sure you use an appropriate dose. In most cases, "a couple of drops" isn't going to do it. Poultry/birds requires a much higher dose than mammals because their system metabolizes things differently. I recommend Cydectin (Moxidectin). It is broader spectrum than Ivermectin, safer, and longer lasting - although it is still only effective against mites for 2 weeks - as are any of the 'mectins'. Also, no resistance is being shown to Moxidectin so far. Second choice would be Eprinex (Eprinomex.) I prefer the "pour on" method. That way I'm sure all the birds are getting an appropriate dose. Dosage of Cydectin (cattle pour on) is 1/2 a cc per kg, applied to the skin on the back of the neck.
To get on top of mites, the birds must be retreated within 4 to 7 days. And then monthly thereafter during "mite" season. (Just like we would do with our dogs and cats.)
I also find Frontline (Fipronil) to be effective. It also has a repellent action as well so I use it on any bird that I see with mite activity. 10 drops. Make sure it gets on the skin. Back of the neck, under the wings, bum area, and even on the head with Silkies.
It is also EXTREMELY important to keep your nesting boxes and coop clean. Permethrin/pyrethrin sprays help, Sevin dust, and/or sulphur dust. I find DE to be a complete waste of time at best and a respiratory hazard at worst so I don't bother with that any more. Sulphur garden dust is also great for their dusting areas and nesting boxes. Resistance is also being shown to permethrins and pyrethrins so you'll have to see if it helps in your situation. Using sand very likely makes things worse as sand is an ideal habitat for mites. There are lots of other issues with sand as well but I won't get into that here.
Broodies seem to be mite magnets. It is extremely important to get mites under control with broodies prior to the hatch. I bathe all my broodies with a dog/cat medicated flea/tick shampoo prior to letting them sit. Preferably one with a residual action like Adams. Then I treat them with Cydectin. I treat them again just prior to hatch. I also spray (permethrin/pyrethrin) and dust (sulphur powder) their nests.
The boys also seem to be more prone to mites than the ladies - perhaps because they don't dust bathe with the same enthusiasm. So make sure to pay special attention to your male birds.
NONE of this stuff has been officially tested on birds so most of this advice is anecdotal and based on label recommendations for mammals.
And remember, whatever you do, you are probably going to have to do it again sooner than you think! Mites are all around us and just waiting to repopulate our birds, so it seems.
Good luck!!!