First, don't worry, I'm not going to try to get your baby from you. :)
Second, I'm an adoptive mother and I never specified ethnicity when working with DCF on my adoptions. When you adopt through DCF with all the potential problems they drilled us in, racial issues seemed like the least of our worries.
I think people look into private infant adoption for a number of reasons. If people just want to experience parenting an infant, that's one thing. If they are hoping to dodge potential adoption issues by starting with a "blank slate", or want to have a replacement child for the one they couldn't conceive, that's where people get picky. In some cases it's all right for people to specify race. I'm thinking of people who live in an area where almost everyone is predominantly one ethnicity and the child would feel like they don't belong. Even the strongest and most open minded parents can't compensate for an unwelcoming community.
Other than that, just be glad that you've got such an easy way to weed out the kind of people you don't want your baby with. If you should decide not to parent, you would want your child with people who will accept him or her for whoever he or she really is.
You sound like such a concerned mother bear. I know nothing of your situation and it's none of my business, but maybe you're the one who can best appreciate and care for your baby? As much as I love my children and they love me, I know they'd rather be with the mother they were born to. It's the one thing I can't give them.