Keep a large, wide, thin rubber spatula in your snake room. These work great for gently encouraging a biting snake to let go, and you don't have to worry about the snake aspirating any liquid like you would with mouthwash, alcohol, water, etc.
It really helps if you have someone there to help firmly but gently press the spatula between the snake's upper teeth and whatever body part it's currently latched onto...the very few times I've had to use this trick it has worked pretty darn quickly.
Make sure that the rubber/silicone spatula end is firm enough not to flex too much, but not hard plastic that could damage the snake's mouth/teeth.
Afterwards you clean it up, take some pics, then laugh & joke how glad you were that it wasn't a retic bite.![]()