BillyJoe, your protocol should work with one proviso.
The two groups, treated and placebo, will have to be matched. For example, it would not be a fair test if the treatment group contained a smaller proportion of self-limiting conditions. Another problem with ill-matched groups would be the duration of treatment and end-point of the test for success or failure. Dana Ullman says that there are certain disease states where an identical homeopathic treatment can be indicated. Perhaps these could lead to a more powerful test.
The
Chest study attempted this but the results are in doubt because of differences between the treatment and placebo groups. Perhaps a larger study would have eliminated this problem.