L.W.
Hi L., while it's challenging to give specific advice without observing and knowing specific behavior difficulties, Autism Spectrum Disorders, which includes Aspergers, are essentially communication disorders. Some children with this disorder have behavioral difficulties b/c of communication breakdowns. You may be familiar with the terms Verbal Behavior & Applied Behavioral Analysis which provide a unique way of looking at and working with children with communication difficulties. I worked with an eight yr old using this technique and he showed tremendous improvement in his level of understanding typical tasks that he was asked to complete or engage in, etc.
As for the ADHD part, I would again consider behavior modification as a primary intervention even if you still want to consider medication. Many children with ADHD can be taught to self-monitor their own behavior to determine when they are off-task, daydreaming, etc. and can use things like frequent breaks, and even be taught how to focus, & organizational skills to address attention and hyperactivity issues.
Hope this helps.