We spoke to someone at the school today, and she said that they definitely take out-of-state kids for their 4k, and she believed they take them for the k-8 (with a tuition fee, of course). So we are getting hopeful that this might work.

So fingers-crossed. This may be a good starting place for us. I'm still trying to not get my hopes up, just in case this woman we spoke to was mistaken. We are planning to tour the school soon.

Thanks for all your help and advice!!