molly bloom
You totally came to the right place. If oil pulling does anything, it helps the soft tissues of the mouth. It will also whiten your teeth considerably.
You must look into oil of oregano and tea tree oil. Try a drop of each in the tablespoon of oil you swish with. This will kill the bacteria in your gums. You can get these oils in a health food store.
Also, I wouldn't suggest this for a beginner usually, but I'd got for the heavy hitting oils. Try a lighter oil for a week, like sunflower, until you get used to it.
Then try Hemp. It is a very heavy, intense oil. I notice immediate effects when using hemp. But it has a heavy taste, and it super thick, so it takes a bit getting used to. But you should persevere. If you can't get hemp, use sesame.
You can get hemp in a health food store.
Sounds like you need to really go for it. Welcome to oil pulling, you will not be disappointed.