I took a quick look at the rules, the only stipulation I see is that Bears should be field-dressed before being brought to a check station, as Game Commission personnel do not need to examine reproductive tracts. I don't specifically see that you cannot skin the bear & bring it in in quarters, wonder if this has ever been tried before?
As far as hunting bear with dogs, I'd love to give it a try. That was the preferred method back at the time of the settlers, why not sample a little slice of tradition?