IMO, you are in a Code area where only YOUR AHJ's decision will matter.
IF one considers this particular install to be covered by Art 547, then you have to entertain such items as equipotential bonding (Art 547.10), etc. In a true Art 547 situation, NM is not listed as a approved wiring method.
Locally it seems our "family farm barns" (two or three horses) are not stringently held to Art 547 standards, however, NM is seldom allowed due to (a) moisture and (b) physical damage.
In line with post #2, even PVC is not used in areas accessible to the live stock. (Note Art 547 permits MC only when "jacketed").
Here we normally find installations consisting of UF or PVC in areas not subject to damage and EMT, or GRS, in areas accessible to the livestock.