Girlfriend is pregnant with $3500 deductible and 20% copay

[u/milwaukee4]

My girlfriend has Aetna insurance through her job with a $3500 deductible and $7000 OOP max. Her OBGYN gave us a paper today to sign stating that we will have to pay them $3803 for the delivery because of the $3500 deductible plus $303 for a 20% copay. It also said that this does NOT include the hospital stay fees, which I guess could be another couple thousand or maybe even another $3500 and eat up her entire $7000 OOP max.
She makes $65k a year so she won't qualify for most programs and we could pay it if we have to but I am wondering if anyone has any advice/ideas for us to help lower this massive amount? Some sort of supplemental insurance or a government program that anyone knows of? My insurance deductible is only $500 but we are not married so I don't think that my insurance can be used in any way. Even if we had a shotgun wedding could my insurance somehow be used to help?

edit: she is only 11 weeks pregnant

Thanks In Advance

[u/g00dboygus]

Please keep in mind that even though your girlfriend has a $3500 deductible, your baby is also going to have his or her own deductible and OOPM for which many newborn services could apply. I had a baby last year, and it was a very routine delivery, but my baby still racked up about $2000 towards her own deductible and out-of-pocket… Things like newborn testing, hearing screenings, vaccines, and pediatrician visits while we were in the hospital. So keep in mind that there will likely be expenses beyond just what your girlfriend incurs.