Is there any way to lift the bottom of my nose (septum) as it hangs really low?

There is no substitute for an in-person examination, so I recommend that you schedule a consultation with a board certified facial plastic surgeon. They can examine your nose and offer solutions for refining the tip and giving you the beautiful, natural-looking nose you desire. Best of luck! 
 - Jacqueline T. Cheng

I believe you can achieve the outcome you want with your nose based on your description.  However, you need to consult in person with a rhinoplasty expert so they can see your nasal movement when you animate.  Be sure to consult with a board certified plastic surgery or otolaryngologist that has experience and expertise in rhinoplasty surgery.  Ask to see before and after photos of their own patients.

Your descriptions sounds like you have a hanging columella. If this is the case then there are ways of tucking the area up and making the tip less mobile with smiling.You should visit with a rhinoplasty expert to see what your specific treatment options are.You can learn more about hanging columella treatment at my web reference link below.

Dear John,Yes, you can use cartilage grafting and/or sutures that can lift the tip cartilages of the columella and suture it to the septumThis will keep your nose from drooping when you smile and make the nose look better from the frontal viewWhen you are ready, please visit a rhinoplasty specialist who can address your concernsBest regards,

Dr. Nima

Member, American Academy of Facial Plastic and Reconstructive Surgery

Board Certified Facial Plastic Surgeon

Board Certified in Head and Neck Surgery

It seems that you have either a hanging columella, retracted ala, or both. Worsening with smile means you have a strong depressor muscle action. Surely there is a way to fix this, but before that, you need a face to face consultation to find a proper way. Thanks.