mentalnomad
Insight, since you are looking for insight and an answer I thought perhaps you would enjoy reading these articles from Andrew Wommack's site. His teachings have been an incredible blessing in my life, he has lots of articles and lots of teachings that are downloadable for free. My husband downloads the mp3 teachings and listens to them throughout the day on his mp3 player. We also buy several to support his ministry and to give to friends, but just wanted to make it known to you that you can listen to any of his teachings for free.
Andrew walks in the supernatural flow of God, God has healed tens of thousands of people through him. There are many today who walk in healing today, you won't hear about them on the news but they are there. Even in our little church the first year we attended we seen 6 people healed of cancer, one lady totally off of oxygen, a guy's kneecaps grown in place (he had never had them), heart attacks and stroke effects healed, and many other so called "minor" things. :)
Since listening to Andrew's teachings and growing and learning myself I see healings all the time in my family--wether it be for just the common cold, flu or in more severe things--like a few months ago healing in my body from a very severe and life threatening case of blood sepsis and shortly after that for my then 2yr old daughter an instant healing of a broken arm. God is good all the time! And when you believe in your heart of hearts that it is God's will to heal each and every single time, then you are much more likely to see visible healing manifest.
You know the saying of learn from those who have been there done that so you won't have to go through so many hard knocks learning yourself? Andrew is just that, he has learned and is walking in everything God has for us in His new covenant through Jesus! As Andrew says, he has not arrived in perfection, but he sure has left the train station! :) His articles and audio teachings contain tons of scriiptures and examples. I like to have a notepad and write them down while I am listening and go over the scriiptures myself afterwards--that has done a lot to "cement" them into my heart.
Here are few articles I thought you might like to start with:
http://awmi.net/extra/article/wants_well
http://awmi.net/extra/article/healing_knowledge
http://awmi.net/extra/article/healing_niki
http://awmi.net/extra/article/pauls_thorn
http://awmi.net/extra/article/prayers_unanswered
And specifically dealing with the sovereignty of God and how misrepresented it is in the church today:
http://awmi.net/extra/article/sovereignty_god