Hmmmm....I know what you mean! I rather like the fragrant olive grove/grapefruit mix myself!
There are slow flushes that go something like you're describing. If you do it you should just do it once a day, so that the liver has time to store up enough bile & pressure to push the stones out. A real key is getting them out of you bod the next day...that's why getting your bm's regular and frequent is a good thing. You don't really want those toxins leaking all over your insides! hmmmmm.