Hi Alex,
I've been using homeopathy since 2002 with success. It's not a miracle cure, just like Aspirine or Maalox, but it got the job done, without nasty side effects.
Also a typical homeopathic cure will probably last longer than an allopathic one, especially for recurring symptoms so it may look less appealing for today's standard. Hopeopathy usually doesn't just shut down symptoms, most of the times it resolves the problem. It did it for me twice and I have seen it for other people, including some nasty, 20 years old recurring allergies, where doctors had no clues besides pumping anti-histamine drugs.
There's also one major misconception with homeopathy: that there is no active principle because the number of molecules of remedy is < than Avogadro's constant. This is partially true.
Many remedies on the market (probably the vast majority) use homeopathic potencies that are way above such constant. In particular most modern remedies use an "harmonization" of both low (less diluted) and high (more diluted) potencies.
Next time you get a pounding headache try 3-4 globules of Chamomilla 5C, every 15-20 minutes and see what happens. Similarly if you have an upset stomach try Nux Vomica 5C or Arsenicum Album 5C. Usually for casual issues they are very effective. For long standing problems it's better to talk to an homeopath so that he can customize the remedies and potencies.
Those that I have cited, at that potency, all contain the active substance, so from a mainstream scientific point of view they aren't even controversial.
The homeopathic remedy is relatively dose independent. If you take 3 globules or 30 it won't make any difference, in contrast to regular herbs and drugs.
It is a signal. So the trick is re-sending the signal over and over again to modulate the response towards the health problem.
Also keep an eye on "Biologic Medicine" a relatively new scientific field of medicine that proposes LDM (Low Dose Medicine) ... doesn't this sound like LENR? You change the label and keep the same concept, but you save the face :)
There have been some very interesting meetings in Italy and other European countries with physicist Giuliano Preparata, Giuseppe Vitiello, Emilio del Giudice and Nobel prize winner Luc Montagnier. These are theoretical and nuclear physicists, not hippy dippy new agers :)
E.g.:
http://en.wikipedia.org/wiki/Emilio_Del_Giudice
http://en.wikipedia.org/wiki/Giuliano_Preparata
http://www.brainspace.eu/abstract/vitiello.php
And this is the program of the "Water Conference" that gathers all sorts of experts to explore the amazing properties of water, including the controversial "memory" that is postulated by classical homeopathy:
http://www.waterconf.org/conference-program/
And one more interesting bit here:
http://www.waterconf.org/jacques-benveniste/
Looking forward to the interview :)