Long Nose in Vertical Direction

It is impossible to say what would be best for your nose without photos. There are many more ways to do this  depending on the problem.

Although it is hard to tell without seeing your pictures what you are describing is possibly true - best of luck

There are multiple surgical options to shorten the nose from a long vertical direction.  One option is to lower the radix by rasping down the bridge close to the eyebrow area.  This will shorten the nose.  Another option is to reduce the anterior nasal spine and inferiorly projecting columella by trimming back the caudal and membranous septum.  Turning the nasal tip up can also shorten the nose, however if it is turned up too much it will look operated upon.  Lastly, an existing depressor septi muscle can be released to prevent lengthening of the nose upon animation and smiling. 

Without photos it is dificult to advise. Usually the nose is shortened by trimming the caudal septum. If it is overprojected then any combination of lower lateral cartilage techniques and septal work can be used. If you are describing a hanging columella with excess alar columellar show due to an enlarged nasal spine and caudal septum then reducing the nasal spine may be of help. Otherwise its usually not necessary to work on the nasal spine itself to effect length.

Without seeing photos it is diffiuclt to say, but if you are complaining about a long nose where it projects too much, and it is definitely not too much dorsal height, then think of it like pitching a tent. If the poles are too long they have to be shortened.  This can be done with the lower lateral cartilages of both medial and lateral crura.