Ruff, everyone with teeth should oil pull, just like brushing your teeth.
Will OP help your condition? Maybe not noticeably, but it will take a huge bacterial burden off your plate. That burden might be preventing you from letting your natural defenses work efficiently.
You can use whatever you want, but I did read (and have posted) links to coconut oil killing candida. Of course that was in a lab, but it still bodes well for the therapy. It's the lauric acid in the oil. Good stuff.
If I had candida, I'd be eating coconut oil on a daily basis. Here is one site, but there are many.
You might want to check into oil of oregano too. I would go to the forum, Truth in Medicine and ask the forum owner what they think about Candida.
But yes, Oil Pull. Doesn't matter what oil. I love Udo's to pull with, it's yummy.