The only kind of mites that will harm a snake is a snake mite. They look like poppy seeds to the naked eye.
The red mites could possibly be rodent mites. They are harmless to snakes, but may transfer to humans. They are sort of redish, but not BRIGHT red. More like a dark ruby red-brown from my experience... If they are rodent mites, the mice should have dandruff and possible patches of thin or missing fur
If they are clover mites, then they are harmless to humans, mice, and snakes. The Bright red description sounds like this.