Ok, now that the whole falling part has been cleared up, let's move onto the bathing part...
There is no reason to bathe your snake because it's going into shed. The only time you should soak your snake, (in shallow water), is after a bad shed. Even then, you have to be careful because it's just too difficult to judge water temp. What you may think is warm, may still be too hot for a cold blooded animal, (remember, your 98.6 degrees)....The best way is to use a thermometer to get an accurate temp, (between 75-80), and only let them soak 5 - 10 minutes in shallow water, then let them wriggle through a towel enough times to work off the bad shed... If your snake is prone to bad sheds, I'd go the humid hide route, or spritz its tub or viv with a spray bottle at least once a day until shed...