In our state we have no access to public school classes. We do have a small liberal arts college 15 minutes from our house. Dual enrollment has worked out great for us. The girls have access to a full lab for science classes, qualified professors for any class they are interested in, and the chance to participate in class discussions, presentations, and projects. For us, I couldn't have asked for a better deal. However, they were able to handle the workload. If they weren't, we would have looked into other options.
As far as AP classes, they are a great way to show that your homeschool student is well prepared for college level work.
If your child is able, why not take AP classes and dual enrollment?