Honestly, your situation is flipped from ours. Homosexual marriage is not allowed, but adoptions are. My cousin had a commitment ceremony here 10 years ago. On their tenth anniversary they went to a state that has legalized homosexual marriage and made it legally official.
For years now, even without being legally recognized as being married by the state, they have been registered with the foster to adopt program, willing to accept even children taken from their parents, but requesting a preference for babies. After two foster kids whose birth parents corrected their lifestyles and proved themselves competent parents they got two kids to foster. One whose parents never met the court-ordered requirements to regain parental rights and eventually moved out of state, and another whose parents just disappeared right after the birth. Both cases were drug addicted newborn babies, but my cousin could have received any child in any age or situation had she requested. They just chose the most likely scenario to be able to adopt because there is quite a large wait to actually reach the full adoption point. The first child they received full adoption status with in October and the second they adopted last month. They had their first family Christmad with 100% parental rights and no fears of the birth parents demanding to get the kids for the holidays at the last minute.
But to sum up, you don't have to related to the child in anyway to get adoption rights here. You don't even have to be legally married to adopt as a gay couple. You just need a stable, two-parent environment that meets safety and social standards.
The fact is, our state may not recognize gay marriage, but they do recognize that children are better with two same-sex parents than abusive, drug-addicted, or worse parents, or no parents at all. Ultimately, there are kids who need homes and you can get a lot of kids out of the foster care system quickly and with as little trauma as possible if you allow homosexuals to adopt and achieve full parental rights.