When I first read this, I thought you wanted SS tubing inside more SS tubing.
Even with using soft tubing on the outside, in order to get the outside tubing fed over the inner coil, USUALLY you have to have the inner tubing completely straight. Even when you do that, you have to lube up the tubing a LOT since the inside of the hose is very sticky. Even if the outside wrapping isn't sticky inside, you'll only be able to feed it over about 5 feet of tubing before the drag starts ruining your day.
You might have better luck making a multiple parallel run version whatever the width of your brew stand is. If you brew near a wall, you can make it with a few 10ft straight pieces mounted to the wall. The ends use SS tees with tube compression fittings to lock down on the inner tubing.
A side benefit of straight runs is that you can use much thinner wall SS tubing for better heat transfer. The coiled stuff is usually thicker wall because it's impossible to coil the thinner stuff without kinks.