I utterly cannot believe that you're proceeding with this.
The 2 worst things that you can do, for your own health in bowling is one, not to slide, and two, to keep a stiff or straight knee and not bend it. You can almost guarantee that, sooner or later, you are going to seriously hurt yourself.
Have you even been to a doctor or an orthopedist to learn what is causing the pain?
Have you tried any therapies, physical, chemical or muscular, at all? Have you had X-rays or an MRI?
If your knee already hurts when you bend it, you 're only going to damage another portion of your knee if you keep it straight, instead of bending it like you should.