I run a licensed home daycare and I'm an AP mommy. Here's the deal. I can't possibly babywear many children at once - logistically it'd be difficult and my back would give out. BUT I will only enroll one child under 12 months at a time. This helps to ensure that I can give the infant the higher degree of attention that's necessary for security and attachment. I NEVER lay my infant down to CIO to sleep. He falls asleep in my wrap, sometimes in the bouncer seat while he watches me sit and eat lunch with the big kiddos, sometimes in my arms. Then once he's out I do usually put him in the crib in the next room so he can sleep longer - my toddlers and preschoolers are a noisy and rambunctious bunch! When we go for walks, my preschoolers walk, my toddlers ride in the wagon, and baby gets the best spot in the house - on me in my Ergo.
When there's multiple children with different needs (I have six total) you can't always get to someone who's upset right away. BUT you can get to them as soon as it's humanly possible. And you can talk to them and respectfully acknowledge their feelings while you're trying to get to them. An example that pops into my head is that baby becomes upset when I'm in the middle of a diaper change with a toddler. So I think in ideals it's possible for a childcare provider to be AP, but not every moment is going to look like an ideal AP moment.
I would look at what the provider emphasizes when you meet together. Does the provider mention love, safety, security, and respect for the child as key points or go on and on about endless academic type activities. I'm not saying doing some structured activities is wrong, but I think it's important to note where the providers focus seems to be.
Am I helping or rambling? I wish you luck in finding someone. Is there a local Attachment Parenting International group? That might be a good way to find some AP-friendly providers. I don't think it's impossible at all!