First of all, a coil is not a pressure vessel, although it may be contained in one.
Second, ASME Section 1 applies to power boilers, i.e. boilers in power plants. Is it your case? Back in my days of erector engineer I worked with dozens of coils, but they belonged to oil refineries and petrochemical plants.
Third. I doubt that the Code states a tolerance for angular misalignment. In this case, the equipment manufacturer should have given it. My suggestion is that you consult the equipment manufacturer.
Giovanni S. Crisi
Sao Paulo - Brazil