I also have a love - hate relationship with single leg exercises but they did wonders in reducing my knee pain, and increasing my endurance for walking, and standing strength and stability. (completethecircuit.com)
Without the machine you can work on the thighs you're after, and you just may be able to reduce knee pain at the same time. (health.com)
You can become your own physical therapist by using these 5 resistance band knee exercises to help reduce knee pain. (onnit.com)