Have you thought that there may be a link between have a dental overbite and a small lower jaw? Maybe the Class II malocclusion is the "symptom", and not the "disease".
By being treated unilaterally by orthodontically by orthodontics alone, you run the risk of a dental "cute" that ignores the fundamental reason why you have a problem in the first place.
For instance, instead of looking at it from the perspective of "I have a bad bite"... Wouldn't it be better to say "I have a small lower jaw".
If you do say that, then the dental malocclusion becomes a medical sign of the condition.
Other medical signs are big front teeth that chip, a back bite that wears badly, impacted wisdom teeth, crowded teeth, a narrow palate, narrow nostrils, a sense of a large nose or a small chin or a weak jaw line...maybe you can relate your neck posture, or chronic tension headache from forward jaw posturing... And maybe also joint laxity (or what dentists call "TMJ dysfunction")... And of course there's snoring, or poor exercise tolerance (exercise induced "asthma") or just general round poor self esteem.
How's it possible to have twenty unrelated different "diagnoses"?
Or... Maybe you just have one disease/problem... A small lower jaw... And that everything else is secondary.
It's just more logical.
Then the solution becomes easy. Fix your lower jaw