what is the typical atmosperic range and temperature range for an
airlines cargo hold to experience when flying from the USA to ASIA ? I
need to define a product spec.

Cargo hold will have the same atmospheric pressure as the passenger
cabin, about 75kPa, or 3/4 that of sea level.  The temperatures inside
the cabin hold are not controlled in most airliners. They generally
have a large deal of mass in terms of the cargo being carried, this
cargo is generally assumed to be around the temperature of the
departing airport. It's thermal mass combined with thermal pollution
from the temperature controlled sections of the plane will generally
come close to cancelling the effects of the extreme cold outside the
aircraft at high altitudes for anything but the longest of flights.
Airlines list guidelines for shipping live animals in cargo holds
based solely on the temperatures at the departure airport and the
arrival airport for mostly domestic flights.

Pharmaceutical companies have temperature validation procedures for
their shipments. temps are checked periodically enroute and verified. 
Modern airliners all have temp sensors in the cargo holds, and they
rarely go below freezing temperature due to the heat leak from
passenger sections. Overheating will not be an issue.