In this talk, I will prove that, under a specific assumption, any semi-direct product of a p-group G with a group of order prime-to-p can appear as the Galois group of a tower of extensions M/L/K with the property that M is the maximal pro-p extension of L that is unramified everywhere, and Gal(M/L) = G. At the end, I will show that a nice consequence of this is that any local ring admitting a surjection to 5-adic or 7-adic integers with finite kernel can be written as a universal everywhere unramified deformation ring.