A kind and learned reader, intent on salvaging grammar from the ambient wreck of culture, suggests the following:
Ze (Zee), Zem, Zis, Zi, Ze (Zay) – Ze-Ze, Zem-Zem, Zium, Zibus, Zibus.
The North Country version could be: Zoo, Zem, Zi, Zay – Zoo-Zoo, Zoo-Zoo, Zow-Zow, Zow-Zow
Permissible dialect spellings: Tse, Tsem &c or Cze, Czem, or for Chinese speakers Xe, Xem &c.