Did you find out where that inrush current is coming from? An inrush current (by definition) only occurs at start up. As far as I know, you did mention that you were measuring a steady high current.
You better keep investigate what's generating that higher current. If there's some sort of shortcircuit condition, it might go boom at 110 V.
If the NTC is 16 ohm, the inrush current (let's call it the start up current) will be limited to 7 A only (110/16). Is that enough?
You might use a simple fuse, though.