The good news is that there are other good countries with this same opportunity, all you need to do is key into it and see them as an alternative.source
1. MEXICO
Giving birth in Mexico costs about 3500usd for Cesarean section as against about 20,000usd in the united States. Any child born in Mexico irrespective of the Nationality of the parent or their visa status in Mexico is an automatic citizen, all you have to do is to register you child and get the birth certificate (ref). A mexican can travel to 158 Countries visa free including the UK, Ireland and the Scheghen states source. You can check Ticket fare to Mexico here
2. BRAZIL
Giving birth in Brazil means instant residence permit to the parents and siblings source and after one year you can apply for citizenship, The Brazilian Passport gives you access to 170 Countries visa free so what`s there to lose source? Delivery cost is about 3500usd and that includes all tests and appointments. You really need to consider this..
3. PANAMA
Giving Birth in Panama offers the facilities as the USA at a cheaper rate. You should budget roughly 3000usd for a standard delivery with all the benefits attached and a little higher for a C section. with this passport, you can travel visa free to about 141 Countries source.
4. BARBADOS
Barbados passport gives you access to 160 countries visa free Source and of course the cost of giving birth here is relatively cheaper than USA at 4500usd source
5. CHILE
Apart from the low cost of delivery whisch is about 3000usd for normal delivery and 10,000usd for extremely complicated C section, The Chilean passport is the 3rd most powerful passport in America after the USA and Canada. It is visa free to 174 countries source