What you really need is one of these. It will sharpen anything you throw at it from a #60 to 3/4". Chose the angle you want, split the points, and have a like new drill in less than 2 minutes. If you get lucky, they can be found for less than a quality set of drills from MSC, Grainger, McMaster, Zoro, or any of the other major industrial vendors. It will even make the HF drills cut properly.
I have drills that were inherited from my grandfather and my wife's grandfather that were purchased new in the 1930's. A quick run through the machine only shaves off a few thousandths, so you can sharpen them hundreds of times before they actually become consumables.