Medical/Dental expenses - who foots the bill?

We currently pay for our D20’s school health plan and reimburse her for OOP costs like copays and glasses (which I can claim against my flexible spending account). Transitioning her back to our plan post graduation will all depend upon what coverage she will have (hopefully) from her first full-time job. Unlike folks that have multiple kids, she is our one and only, so adding her back on will cost us in additional premiums. We want her to get used to the security of being covered so that important health issues aren’t ignored or put off, so I don’t think we’ll be cutting her loose until we know she’s set.