What if the Big Bang Theory of the Universe had been fully developed before Albert Einstein?

Albert Einstein was a terrific salesman! He single-handedly founded and raised the money to build the Hebrew University of Jerusalem in Israel. His letter to President Franklin Roosevelt got the ball rolling on nuclear weapons and led to the development of the first A-bomb. And, of course, his Theory of Relativity is the gold standard for scientific theories, the entire basis for the credibility of the field of physics, and, to some extent, of professional science in general. The Big Bang Theory of the Universe was developed at about the same time as Einstein's Theory of Relativity, and, since the 1960's, it has been pretty much accepted that the evidence for it is overwhelming. Clearly, the Universe started out as a "singularity", an enormous mass concentrated into an incredibly small physical space. And, suddenly, this enormous mass -- incorporating the matter for all the Black Holes, and everything else, in our current universe -- exploded at speeds probably far greater than the speed of light. Now, the question is, since Einstein's Special Theory of Relativity is quite explicit that nothing can go faster than light, how is this possible? Indeed, since the matter in this original "singularity" was far more massive than any Black Hole currently in existence -- and since Relativity makes it quite explicit that nothing can happen in a Black Hole, because its gravity is too high for light photons to move at all, so time "stops" -- really, the initial Big Bang should never have happened! Nothing, should ever have happened, according the Relativity theory, given this initial "singularity". So, effectively, the Big Bang and Relativity Theory are totally at odds with each other. Physicists hand wave about this -- 'the initial "singularity" wasn't the "same" as a Black Hole singularity', 'Relativity Theory didn't apply to the early Universe', 'We haven't worked out the mathematics of the early universe yet' -- but, effectively the Big Bang and Relativity are totally contradictory. Absolutely and completely. So, what if the Big Bang theory had been fully developed and accepted prior to Albert Einstein and his sales genius coming on the scene? Could even Einstein's sales genius have been sufficient to persuade people of Relativity's validity, given a well accepted model of the entire universe that was totally inconsistent with it? I doubt it. The totally confounded evidence used to support Relativity Theory -- the fact that gravity has extremely small effects on atomic clocks, and that particle accelerator particles that can't go faster than light, can't propel particles faster than light -- would simply have been ignored. The scientific bureaucratic disinformation mills like the Nobel Prize Committees that support Relativity theory would have realized the pointlessness of even attempting to support this silly theory. And, by this time, we'd be using H-bombs to propel human beings to colonies on earth-like planets in other solar systems, at speeds tens of times the speed of light.