I'm 73 and have run most of my life then had a torn meniscus in both knees and surgery for them. Stop running indefinitely (guess you don't want to hear that) If your knee joint is worn past a certain point neither massage or strengthening will help. Pedaling faster will lessen the load on your knees. Of course they may not be worn out, but possibly over used. I switched to cycling two years ago and have had no problems with my knees once I found a fitter and he worked out some alignment issues. I just reached 11,000 miles on my bike.

What is the reason for insisting that nothing on the bike needs correction? There is a reason sincere folks are all telling you the same thing. If you want to filter out things which don't seem to fit your expectations there's little than can be done for you. A good (read NOT the LBS standard) fitter might just find a solution. I'd recommend one as a first step and not looking for hardware or clothing to solve your knee problems. Use that money on an expert who will look at everything about your riding...but you need to go in with an open mind which excludes nothing.

Good luck! Rich