CS would be quite healing. i dont think Iodine would get that far without being absorbed.
fasting would work well. the salt water flush would be great so long as the appendix didnt burst. eating vitamin C till youre pooping like a goose would help with the toxins from the infection.
if it bursts youre gonna have to go in and patch it. again, maybe not with fasting. fasting would be the number one indicated treatment. eating just puts pressure on everything and feeds the infection.