Nobody is forcing the woman to keep the baby. If the woman wants to, they can give the baby up for adoption, at which point the state steps in to provide care for the child.

If the woman chooses to keep the baby, they are subject to means testing for any assistance like anyone else.

UBI

I agree with UBI (my personal preferred structure is a Negative Income Tax, which is similar), but that's completely separate from taking care of yourself and dependents.

The difference is the government should ensure everyone has access to what they need, but it shouldn't ensure the everyone is using what they need. So I'm against things like universal healthcare because whether to pay for insurance should be an individual decision, but something like Medicare for all is acceptable because it preserves that choice. Likewise for free college, though I'm absolutely supportive of reforming K-12 schools so kids have better prospects after high school (e.g. spend the last two years in some kind of apprenticeship program). I'm also vehemently against federal student loans, but I'm in favor of grants for students (collecting payments is morally incompatible with maintaining a monopoly on force).

So I think you'll find I'm not a conservative, at least not in the sense most people seem to mean. I'm in favor of radical individual freedoms (i.e. drug legalization/decriminalization beyond marijuana), to the point where victimless crimes should not exist (i.e. porn, gambling, prostitution, etc should never be banned, but may be restricted somewhat to prevent harm).