Most of the stories I have read here for non Crohns fistulas have had surgery of various sorts.
These things are very stubborn. I think some have had success with diet or even an [wiki2="Elemental-diet"]elemental diet[/wiki2] for a short time.
From what you've said if there is very little drainage and no abscessing internally (might show in high WBC) and your CRS Is good with it then take it out and see. While not fun you could always have it put back in and go for surgery later.
I highly recommend the antibiotics [wiki2="Flagyl-Metronidazole"]Flagyl[/wiki2] and Cipro or augmentin for 2-4 weeks before and after removal.
Good luck
