What predictions does Humphrey's model give us about Helium/Hydrogen/Deuterium ratios? How many families of neutrinos does it require to work? How many photons in the background radiation field compared with protons and neutrons should there be if his model is right?
What reason does the big bang have over choosing the no center/no edge?
You ask that question, and it is fair. The answer is that the big bang model gives us concrete answers for the above questions (and a lot more too) that align with what evidence we have managed to collect. No other cosmological model has been able to give answers to these questions which didn't require significant fudging.
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