There is no question that nonsurgical nose jobs not only can work well for curved and bent noses, but also for downturned (or drooping) nasal tips.I have been performing these procedures for well over a decade, and have found nonsurgical nose jobs quite effective for lifting droopy nasal tips (as well as straightening humps, bumps, and depressions along the bridge and top of the nose), all of which often contributes to a slimmer, more tapered nose.
It is not entirely clear from your description, however, what approach is best for you. An in-the-flesh consultation is certainly advisable. At that time, if deemed necessary, to confirm whether a nonsurgical approach might be beneficial in this case, a small amount of salt solution or dilute anesthetic solution can be injected as a test into the appropriate areas of the nose to get a better idea of the potential degree of correction.
Not uncommonly, simply injecting the appropriate volume to the bridge area of the nose to straighten it is also enough to give a secondary aesthetically satisfactory lift to the tip of the nose.
In cases where sufficient secondary lift is not achieved by simply volumizing and straightening the bridge area, additional volumizing material can be added to the area of the base of the nose, with or without the addition of a neuromodulator, such as Dysport and Botox.. The latter work, not by a volume effect, but by weakening the small muscles in the area that exert a downward pull on the nasal tip: the result, an elevated nasal tip. When necessary, a small volume can be instilled to the lower spine of the nose to further straighten it. Tiny droplets can also be injected along the base of each nares to help to correct an overly exposed columella.
Consultation with a board certified aesthetic physician with extensive experience with nonsurgical nose jobs is strongly suggested.