Hi jahans in Minnesota,
First, be very careful with any injections into the nose. The nose is very susceptible to color changes, discoloration, swelling, blood flow, pain, numbness, and other potential complications with inappropriate injections into the nose.
There isn't a filler on the market currently that is FDA approved for injection into the nose. Everything is being used off-label. Fillers should never be placed into the tip of the nose, since complications may more likely occur at the nasal tip. Fillers should only placed in the bridge to help smooth contour irregularities and to provide augmentation. Fillers which have been used for nonsurgical rhinoplasty include Radiesse and hyaluronic acids.
One non-surgical rhinoplasty option for you could be Botox Cosmetic. Botox may injected into the base of the nose in specific areas to help reduce the droopy tip when smiling. Results would be temporary, lasting a few months.
Depending on the specific anatomy of your nose and your desires, I suggest first speaking with a rhinoplasty surgeon who can use computer imaging to simulate rhinoplasty. You'll be able to visualize in real time what possibilities are potentially available. Only after a comprehensive in-person evaluation can a plastic surgeon help determine the appropriate options for you.