The coil wouldn't need to be supported if the coil input was long enough. I'm just trying to avoid the requirement for running water. Don't get me wrong, I'd use the excess water to clean up afterwards. It is just that extra bit of plumbing complexity being added to an already complex process. Whenever I describe how my brewery works to the non-initiated, their eyes will always glaze over about halfway through
Do you have a faucet nearby? You may be able to use a garden-hose adapter on that faucet to provide the water. If it's not close enough, a garden hose could move that water to where your brew area is.
I had a sillcock installed under my sink to feed my RO filter; when I realized I needed to draw off water also for the steam catcher, I put a splitter on it that allows me to control two different water streams.
Just a couple ideas....