That two-way miss is not necessarily a shaft problem. However, I think with your club head speed you will want a shaft that is low torque for better control. Typically, a heavier shaft with low torque will also give a lower launch. Of the two shafts you cited, the Paderson Kinetixx may fill the bill a bit better.
My personal favorite that is even more tip stiff is the Grafalloy ProLite 35, available in S and X. (The newer model is the ProLaunch Red.) The stiff plays stiffer than most other stiff shafts and gives me excellent shot dispersion and control. Still the driver I use! I also have other drivers with X flex shafts, including this model, but I prefer the feel and performance of the ProLite 35 stiff.
Link for the ProLaunch Red – https://www.golfworks.com/grafalloy-prolaunch-red-graphite-wood-shafts/p/tt0105/
Hope this helps! Michael