Wow, two adoptions in a year! Congratulations!
Are you married / have a partner? If so, get two separate Sapphire Preferred cards (make sure it is a preferred card) if you can meet the minimum spend X 2. Or if the spending is an issue you might also get the Chase Freedom card (with lower spending requirements) and you can transfer the bonus points to Ultimate Rewards points in your Sapphire Preferred account. I believe the Freedom to Ultimate Rewards (Sapphire Preferred) transfer requires both cards to be issued to the same person.
Most people with good credit can get two cards through Chase, though getting more than two within a short amount of time can be hard for some.
http://boardingarea.com/blogs/mommyp...it-card-deals/
has a good overview of travel oriented cards for families.
Do you know for sure what hotels are available or recommended near your orphanage in Guangzhou? Is this the same place you adopted from the first time?
One other idea. If you have generous friends or relatives who want to help out, they can open their own Chase Sapphire Preferred (make sure it is the Preferred) +/- Freedom accounts and transfer the Ultimate Rewards points to your account, hassle free.