Was it not Hawkins himself who said that the current laws of physics were not in existence at the Big Bang, neither can the laws of "creation" which acted upon the Singularity be reproduced in the contemporary universe.In regards to the speed of light change, no such theories have passed peer review. Regarding the link above, the only suggestion that is specific in scope is one person who suggests that the speed of light might have been faster at the start of the big bang, but that faster speed would have lasted for only moments before returning to the current speed. There is no evidence whatsoever that suggests a change in C would have resulted in a big bang several thousand years in the past, and there has been no observations of the speed of light changing in a control group (creationists regularly argue that if it can't be observed in a control group, it's not science).
Therefore a control group is impossible.
HankD