FlyerTalk Evangelist
Join Date: Dec 2002
Location: Danville, CA, USA;
Programs: UA 1MM, WN CP, Marriott LT Plat, Hilton Gold, IC Plat
Posts: 15,720
More than 5000 pets die in the luggage hold every year, most due to heat and/or dehydration. Many deaths occur in summer. For this reason it is strongly recommended that you do not ship a pet, particularly for such a long journey where there are far greater risks.
If at all possible, bring the dog onboard with you. A dog that small should be no problem, provided you make sufficient advance reservation.