The problem with trying to get the rose to do what you want is that the plant does not speak English and it will do as it pleases, which sometimes directs growth to where I do not want it. I sometimes have "discusions" with my plants asking where do they think they are going with this and that stem but hey, do they listen? Ha!

Noooo, my roses like to ignore me; ever see those stems that zoom to the sky just out of nowhere in seconds almost? I yell 'no, not that a way' but they persist. Ha.
You can pinching the leaf buds, adding high nitrogen fertilizers like blood meal or those like alfalfa meal which contains powerful growth stimulants (a natural hormone) like Triacontanol and see if some of the resulting growth goes "where you want it" and produces new canes. Just do not go overboard adding fertilizers in your aim to get more canes.