I think clamping to the tube would be best.
Foaming is usually an indication of temp and/or pressure imbalances. Serving a well carbonated beer at lower pressures can sometimes cause the beer to foam coming through the tubing. You need the resistance in the line to be in balance with the carbonation level pressure.
One problem with stainless tubing is that it's often a larger diameter than the serving lines. Once the beer hits that, the resistance goes way down and it causes the beer to foam. If you have enough tubing to produce the correct amount of resistance, it's no problem.
It may help to describe the sizes of the hoses and coil, lengths, and pressures (Both carbing and serving.)