Well, my two cents here. If you go off plan, you will gain. Yes you may only gain water, but you will gain. If you just need to see that scale move, you could do that, but it will move in the wrong direction first, and then maybe move in the right direction. Either way it is basically a wash.
You are in ketosis. That means you are burning fat. Trust the process. Stalls are normal, the body is still burning fat, it is just hanging on to some water so that your scale isn't showing it. Have you taken measurments? Have you been eating extra salt? Have you been taking your vitamins? The B vitamins are good for helping you to drop any excess water your body is hanging onto. It could be that a few vitamins might make your scale move to at least show you what you've already lost.
I wouldn't go with the fat fast. I think those things are essentially useless. I've done them a time or two and yeah, you may lose a little, but it comes back just as fast as it goes. Then you have the frustration of having done that to yourself with no real lasting result.
What I would do is check your calories, and I would also check how often you eat. If you eat smaller meals more often you may find that you lose better. Or if you are eating too many, you could be preventing weight loss or too few calories and you could be slowing your metabolism.
How do you determine if it is too many or too few? I think for me it gets to "too few" when I don't have much hunger at all even if I haven't eaten for hours. Sometimes you need to force yourself to eat if that is the case. I have a hard time doing that, but by exercising more I find that I can rev my metabolism up some.
For some of us our bodies are just very efficient at keeping on the weight. We make them more efficient by trying too hard, by stressing over it etc.
This will sound crazy to most people, but I honestly believe that how you breathe has a bearing on your weight loss too. A few years ago I could not figure out why I couldn't lose any weight with all the hard trying I was doing. At the same time I was looking for a way to help my daughter with her asthma. At that time I learned about a practice called "Buteyko". It is an idea developed by a Russian man. He believes that our state of health is related to how well we breathe.
In America we always seem to think that "more is better" and that goes for our breathing too. His idea is that less is better. Proper breathing is done only through the nose, it pulls air deep into the stomach so that when you breathe in and are breathing properly you should have your stomach go OUT on an in breath, and your chest should remain essentially still. Many many people do it the opposite way. They are chest breathers, their tummy goes IN when they breathe in and their chest goes out. This is improper breathing and it puts your whole body under stress. When under stress we tend to hang onto weight.
I wound up joining this group of people who practice Buteyko, and a bunch of them told me that once they began to change their habits they lost weight without even trying. I was kind of amazed at that. It never happened to me, but I do think I've managed to correct whatever it was that was preventing me from losing when I was trying so hard.
This article:
http://www.buteyko.com/media/healthy_breathing.html was published in an Australian magazine. It talks about certain aspects of health and how breathing affects your whole body. You might want to read it, some of it was pretty interesting. I'm no expert, so how it would apply in your case or others I couldn't say. I know my daughter was helped by retraining herself to breathe more properly, and I believe I was too.