I have a vivi nova mini dedicated to extreme ice from MBV, but that's not because I am worried about it tainting other flavors, it's because I just love to vape it every hour or two.
I have a few in rotation, I usually just rinse in hot water, shake em off, quick burn to the coil if necessary and then refill with the next flavor. Sometimes those first few draws have some of the old flavor in them, and sometimes that's not a bad thing!
You might even get to the point where you start putting a few drops of menthol into some other flavors, just to see what happens. Don't be worried about doing it wrong, mixing juices can be awesome fun - even when you do it by accident.