Maybe journaling? It could be a daily homeschooling writing assignment but maybe if both of you consistently journal you can see patterns of food or stressors or activity that exacerbates the condition. Journaling can be therapeutic.

You can add random pictures and then from the journal and pictures you could produce an edited version as your very own keepsake homeschool yearbook.

Also if a therapist is too judgmental for your child what about just education about anxiety from an impersonal book. Two that I like are the Anxiety and Phobia Workbook by Bourne and The Relaxation Workbook by eshalman and Davis ...these are adult books....there are many kids books too... What to do when you worry too much by heubner