Optimally, one of the most important aspects in rhinoplasty, both primary and secondary, is to use autologous tissue if needed. These are the most challenging operative procedures that we do in aesthetic plastic surgery, therefore, it’s very important to choose an experienced rhinoplasty...
Your options are four. The best location is naturally cartilage from your nose. Usually there isn't any. Then its your ear followed by your rib. The rib has the advantage of also getting bone.
As far as collapsing of the nose, this will not occur unless you sustain severe trauma to the nose. Collapsing of the nose will be most evident by a saddle nose deformity, which you obviously do not have at this point. This would show up immediately after the surgery if it were going to occur....