Brian,
334.30 Securing and Supporting. Nonmetallic-sheathed cable shall be secured by staples, cable ties, straps, hangers, or similar fittings designed and installed so as not to damage the cable. . . .
Also:
100 Definitions. Fitting. An accessory such as a locknut, bushing, or other part of a wiring system that is intended primarily to perform a mechanical rather than an electrical function.
I don't think the tape can be used as a support. Even if taped to the box hanger bar, there would still be the need for a support within 12", when clamped in the box.
Al