I wouldn't say put to rest entirely. BB theory has merit - it wouldn't have been proposed, or achieved its current position at the head of cosmological theory if it didn't. But the model does have inconsistancies - check out -
for a list of the top thirty problems with the theory.
Because BB is currently mainstream, it's very difficult for alternative models to get a look in, in terms of peer review, funding or just plain old air-time. I tend to be a fence-sitter myself; I find this helps in being more receptive to new ideas or variations on old ones - admittedly I have the immense and comfortable advantage of not doing physics for a living!
I doff my cap to those worthies who keep plugging away at unfashionable areas of study - even if they don't create change, or are barking up the wrong tree, they often help to sharpen focus and improve existing theory, and just maybe, one of them will emerge as an "acknowledged great". Might have a look at that book you mention - sounds interesting.