Excellent description of this run at
SouthwestPaddler.com and at
New Mexico Bureau of Land Management Rivers Page.
The reaches of the Taos Box area are...
Ute Mountain (Class II),
Razors (Class III/IV),
Upper Box (Class V/V+),
Lower Box (Class III/IV),
Pilar (Class III/IV),
Otowi Bridge (Class III),
Red River (Class IV),
Rio Pueblo (Class V+), and
Rio Embudo (Class V+).