The only one I know of is in Denver Colorado, but I haven't been because it isn't worth the drive and the prices are quite high.
FetLife has a directory of ABDL Nurseries, I think.
I know of a couple in California that are fully-stocked and equipped, but they're all kind of prohibitively expensive... But if you wouldn't mind going beyond the entire nursery experience, you might look into Professional Mommies who offer sitting services at their home or yours. It's not something I've researched, but logic tells me it would be more reasonable.
Edit: I mean, don't get me wrong. If this is something really dear to you, you don't want to skimp! More important than money, is that you can connect with whomever the Caregiver is. Cuddly babies need cuddly people, naughty babies need naughty people, and everything in between...
Can you please send me the info as well! Thanks.