[1] The genus name of Benggwigwishingasuchus combines the Shoshone term "Benggwi Gwishinga", meaning "to catch fish", with the Greek "suchus", a commonly used suffix among fossil pseudosuchians derived from the Egyptian deity Sobek.

The species name meanwhile means "desert song", derived from the Latin "erema" and "carminis", and was chosen to honor the discoverers of the fossil, who are noted for their love of opera.

The prefrontals are also well developed, especially the ventral ramus, a peg of bone that is directed downwards and frames the front of the eye sockets.

[1] Compared to the skull, the axial skeleton is understood much better, in large part due to the completeness of the cervical (neck) and dorsal (torso) vertebrae.

Some of the neural spines of the mid-caudal vertebrae possess accessory laminar processes, a feature shared with paracrocodylomorphs and Ticinosuchus.

[1] Unlike derived poposauroids like Poposaurus, Benggwigwishingasuchus still retains its osteoderm armour, which is arranged in a simple paramedial double-row as in many pseudosuchians.

The edges of the osteoderms are further marked by a series of irregular spikes and crenulations, which bear resemblance to those of some phytosaurs and Litorosuchus.

[1] The phylogenetic analysis published in the type description of Benggwigwishingasuchus recovered it as a member of the Poposauroidea, a group of highly diverse paracrocodylomorphs that form the sister clade to Loricata.

[2] Benggwigwishingasuchus is known from the Anisian Fossil Hill Member of the Favret Formation, which is thought to have been deposited around 10 km (6.2 mi) off the Panthalassic coast of Pangea.

In this case, Benggwigwishingasuchus may be a panthalassic equivalent to some pseudosuchians found along the Tethys coast, namely Qianosuchus from the Guanling Formation of China and Ticinosuchus from Switzerland.

[1][2] Such a lifestyle may have been more widespread across Triassic paracrocodylomorphs, as Benggwigwishingasuchus, Qianosuchus and Ticinosuchus do not form a distinct clade and thus likely acquired their adaptations independently from one another.