Rabies is really rare.
However, the diseases present in the Americas include: the plague (Yersinia pestis), salmonellosis (S. typhimurium; S. enteritidis); leptospirosis (L. icterohaemorragiae); murine typhus (Rickettsia typhi); rickettsialpox (R. akari); lymphocytic choriomeningitis (arenavirus); rat-bite fever (Spirilum minus, Streptobacillus monilifomis); Hantavirus hemorrhagic pulmonary syndrome; hemorrhagic fevers (Arenavirus); Venezuelan equine encephalitis (alphavirus); Powassan encephalitis (Flavivirus); rabies; Rocky Mountain spotted fever (R. rickettsii); and tularemia (Francisella tularensis), as well as parasitisms, such as trichinosis (Trichinella spiralis); eosinophilic meningitis (Angiostrongylius cantonensis); and taeniasis (Hymenolepis nana or H. diminuta).
http://www.paho.org/english/dd/ped/te_rdes.htm
So, it is probably not a good idea to let him near your bunghole.