Almost a year since your post, I wonder what you'd come to. I've recently received the news that I have gingivitis. Having just learned about oral probiotics as well as oil pulling, I'll be working out a program to help the good bugs win and the healing begin.
It seems to me that a daily combo of destroying/reducing plaque and repopulating the oral cavity with BLIS should work. I've just done a little research on chlorhexidine and find it's "role in preventing tooth decay (dental caries) is controversial." I would choose oil pulling over chlorhexidine simply because it's natural, even if it would take an extra two weeks to effect the same result.