Permanent gummy smile botox-esque procedure? Please help!

I think it would be beneficial if you were able to upload photos at rest and with smiling so that we can see what exactly it is that is concerning you. I think what you are looking for is injection of Botox into the depressor septi nasalis muscle. This muscle usually causes the tip of the nose to come down when smiling. There is a component of the nasalis muscle which is close to the ala and is responsible for flaring of the nostrill. Injection of this muscle with Botox can help reduce nasal flaring. 

Thank you for your question 123kittypaw. Botox is a purified protein used to address
wrinkles associated with facial expressions. A small amount of Botox can be used beside the nostrils to address the gummy smile. This relaxes the muscle that elevates the upper lip when one smiles (LLSAN). For some people the tip of the nose comes down when they smile. A small amount of Botox can be placed in the depressor septi nasii (DSN) muscle just below the nose and above the upper lip. This will relax this muscle and prevent the tip of the nose from going down when smiling. Most people enjoy the results of their Botox treatment for 3-4 month. A more permanent solution would be a surgical rhinoplasty. I hope this helps. Photographs of the nose at rest and smiling may help demonstrate your concern. Please consult with a doctor for
specific recommendations. Good luck!