I see what you are saying... Invisalign may be an option for you... but severe overbites are usually better treated with traditional braces.....the braces would also help to give you a better "C" shaped smile as opposed to a "U" shape...
I'm not saying Invisalign can't do it, but for the money and the results you are seeking I would go with metal braces.
Get about 3 to 5 ortho opinions and report back to us.
Braced Twice. Wear Your Retainers!
Ceramic Braces On Top and Metal Braces On Bottom, Palatal Expander - First Time Around
Metal braces top and bottom - Second Time
Now Wearing Retainers At Night!