I have NEVER heard of Invisalign causing any such damage to teeth! I believe you have been mis-informed as Aligner tooth straightening is probably the most gentle method of tooth movement developed to date!Tooth "cracking" or haze lines are usually a result of dental bruxism, night time tooth ...
You have a situation that is ideal for treatment with a DNA Appliance that can expand the maxilla and create a full wide healthy smile and create space for mandibular advancement without surgery.The mRNA version brings the lower jaw forward to open the airways and is an FDA approved apnea appliance.
After any ortho treatment you need to get retainers so your teeth won't move again. These retainers could be clear aligners or permanent wires. You need to see your dentist/ orthodontist to discuss your best options.