Was quoting the term you used.
Yes, I understand that drench means liquid by mouth, usually tubed rather than in drinking water. Liquid ivermectin is also applied topically to birds skin.
It's up to you.
I've read too many stories about mite and lice infestations becoming dire after trying to treat with DE.
I've used premethrin dust more than a few times for lice, 2-3 treatments 7-10 days apart, and my males were still fertile and no obvious respiratory issues in the flock.
You could get a powder sprayer and fill the cracks.
Or use liquid in the warmest part of the day to douse the cracks and crevices.
Are you sure they are roost mites?
Best done well after dark with a strong flashlight/headlight, easier to 'catch' bird and also to check for the mites that live in...