I'd try and work out how much an oversize ring is going to close the gap by, 'cos you really don't want to be filing alot off rings. If nothing else, its a ball ache unless you have a proper ring grinder tool and even then it's fairly time consuming.
PS. If you still fancy some filing, i'd get a diamond file. Knock the handle off it and clamp in a vice then you can file both sides of the 'gap' whilst holding the ring against the jaws of the vice rather than the other way around. That should keep it square ( ish)

(it helps to have two bits of soft alli angle in the vice too, helps to protect the file face and the ring as you run it along)