Your quad pain might have nothing to do with cadence or gear and everything to do with how your bike is set up. I find that if my saddle is too low and/or too far forward, my quads get overly tired. Have you had a fitting on your bike? How high is your saddle? Is it high enough that you have just a slight bend in your knee at the bottom of your pedal stroke? Can you sit on your saddle and just barely touch your toes, not touch your toes nearly at all or can you put your feet down? Is your saddle all the way forward, in the middle of the rails or set forward or behind center?
Of course, I could be wrong, but I think it's something to look in to.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher