Is there a way to lengthen my nose without raising my tip? (photos)

So I would like to get radix grafting to vertically lengthen my nose from the front but also would more tip projection. Many other patients want to reduce tip dropping, but I actually want to KEEP my tip drooping so that my philtrum doesn't appear longer after surgery. I am worried that getting cartilage on the tip and bridge will stiffen it up too much. I appreciate any assistance!