I guess it depends what your definition of 'clean' is :-).
If you're willing to put the figure in a table then you can have the caption in the same table (just a different cell) and not have the actual figure show in the list of figures. If you want to go one step further, you can 'hide' the figure caption in the table by making the text white, and then add a cross-reference under the table to that figure.
See this picture: