A more involved workflow that can work with your current form is to email the form to people who then complete the form using Acrobat or Reader and send it back to you. You can then flatten the form and have them sign the flattened version via Adobe Sign.
Layers aren't supported too.
Well, I didn't want to hear that...but thank you for answering. I guess I'll just have them manually enter the information.
Thank you for your time.