I agree, it's an excellent idea to search for other alternatives in order to avoid surgery. It is well documented that fasting breaks up tumors and cysts and then the body gobbles them up during a process called autolysis... That's correct, the body literally eats up, cannibalizes, tumors and cysts (and all kinds of other nasty gunk in the body) during a fast.
I had an unfortunate experience with an infected sebaceous cyst that grew to the size of a Florida navel orange and avoided having to have it surgically removed by going on a successful 30 day juice fast. Different kind of cyst, but a nasty, infected cyst nonetheless.
I wish you the very best in whatever you decide to do. There are many excellent blogs on juice fasting here on the CZ and the juicing forums offer incredible support.