You can get corded drills at garage sales and flea markets for next to nothing, due to the popularity of cordless I’n sure. I’m talking $5 or even less. Standard cautions apply, though. Do beware of used cordless tools. Batteries have a finite life, and it’s hard to tell if one’s any good without cycling it completely through charge and discharge.
Thank you all for your knowledge and advice. Mr. Moto, you’re right; I don’t have any pressing need for a cordless drill (the six volts I have seem to have been adequate for everything I’ve done thus far), and I think my best bet is to get a set of hex-shank drill bits such as the one danceswithcats recommended. In fact, I just did get one on Ebay - 13 titanium bits for $9.99 plus shipping.