Not that them looking for supplies was ever anything of significance at the time the got to Borg space.As has been said several times, the borg assimilate civilizations, planets, species, they don't assimilate individuals, or as Guinan put it, they don't do anything piecemeal. Voyager would have had no problem going through their space, the only problem would be to get supplies, which could be a real inconvenience.
They could have done it so "Scorpion" was a bigger, epic four-parter with them dealing with the Borg, getting their asses handed to them then having to do everything possible to stay under the Collectives radar afterwards--maybe only a single episode each following season where they face off against the Borg again--though never have an outright win against them.