We pretty much agree on your points.
Except the "fudge" part
. The standard answer to how something came from nothing is "we don't know" from the scientific community, and "God did it" from the religious community. If the only evidence is, "here we are", then let's go with "God did it" and start talking about what's going on around town or on TV. But the amount of evidence is staggering and we keep observing more details as we search.
The Big Bang may be a good model after the first picoseconds. But what would have had to "be" to cause the BB. When you think about it, almost any precondition would lead to an entirely different model to explain the universe.
There would have to be a cause of expansion. BBT doesn't address anything until after the BB so it ignores any possible cause.
Once we find ourselves in an expanding observable universe BB implies that it had a beginning from nothing and many of us don't buy that?
Let's say there was a cause and that cause was the burst of a big crunch. That means that there is a history before the BB. Given a big crunch that bursts, we automatically know something about that history that is not factored into BBT.
What we would then know is that expansion has not been going on in all places throughout all of the history of the universe and that at least in the vicinity of our own big crunch, there was a place and a time where something physically existed and it was not expanding.
A big crunch would have formed by the reverse of expansion, i.e. the collapse of matter and energy into the crunch.
So a simple "guess" (no evidence) about a precondition (a big crunch) raises the question about the extent of the universe and the ratio of matter to energy. Wouldn't we be able to "guess" that there was enough space and energy to support multiple arenas? Wouldn't we be able to "guess" that when crunches burst, eventually galaxies form from the expanding energy of the burst? Wouldn't we be able to "guess" that the galaxies from a history of multiple bursts would mix and merge out in the greater universe? And wouldn't we be able to guess that gravity would cause big crunches to form from that mixing and merging?
So your statement that there is no evidence does not mean that our model is right and it doesn't mean that any preconditions to the BB have to be viewed as "fudging" the evidence. In fact the best ideas of what caused the big bang lead to a much different model and a multiple arena landscape seems to yield a model that looks much like the universe as we see it, even though we can see only from within our particular expanding arena.
The part that makes me go there is that we don't have to have a model that implies something from nothing.