The Big Bang theory is EXTREMELY accurate, and I say that with emphasis because it deserves it. No theory will ever be perfect in every detail but at the moment, the BB theory is be most accurate we've got by a long shot.
The Plasma/Electric theory is not new, it's been kicking around for decades now and it has never been on par with the BB for accurately matching evidence.
What particular aspects of the BB theory do you feel are weakest, and what particular aspects of the other theory do you feel are most relevant?
This challenge in particular has to be dealt with:
In 1995 Eric Lerner published the only proposal based on plasma cosmology to explain the cosmic microwave background radiation (CMB) since the Cosmic Background Explorer (COBE) results were announced in 1992. He argues that his model can explain both the fidelity of the CMB spectrum to that of a black body and the low level of anisotropies found. The sensitivity and resolution of the measurement of the CMB anisotropies was greatly advanced by WMAP. The fact that the CMB is so isotropic, in line with the predictions of the Big Bang model, was subsequently heralded as a major confirmation of the Big Bang model to the detriment of alternatives. These measurements show the acoustic peaks in the early universe are fit with high accuracy by the predictions of the Big Bang model. There has never been an attempt to explain the detailed spectrum of the anisotropies within the framework of plasma cosmology.