So I have recently developed my own personal method for solving the skewb. It is rather inefficient, but nonetheless, it is a method that I created myself and am very proud to have been able to reach this point in puzzle solving. As the title states, it is pyraminx based (given that the skewb has a tetrahedral core) and I have managed to translate my pyraminx method, which is simply cobbled together from a number of different beginner methods from Oscar Roth Andersen's tutorials. The basic gist of solving it is replacing pyraminx edges with skewb centres, the corners attached to the core with the pyraminx base blocks, and the spare hanging corners with invisible/theoretical pyraminx face centres.
If anyone wants a tutorial on youtube, please PM me and I will be sure to record it and post the link to this topic at a later date.