I would try calling an airline and asking them. For example, Southwest doesn't allow pets at all, so I would call the airline you're most likely to take and just ask--you won't be the first. Their customer service number is probably the best place to start.
What's The Temperature In A Commercial Domestic Airline's Baggage Compartment In October From San Antonio, TX To Baltimore, MD?
From aacargo.com:
Aircraft Travel Compartment Information
Animals are transported in the same compartments as baggage, mail and other cargo. These compartments are pressurized and maintain a temperature range from 50-70 degrees Fahrenheit.
Aircraft Travel Compartment Information
Animals are transported in the same compartments as baggage, mail and other cargo. These compartments are pressurized and maintain a temperature range from 50-70 degrees Fahrenheit.