In 1993, I was 11 for half of the year and 12 for the other half of the year. My parents had no internet access and neither did my school.
BUT, yes, I too have thought about this. Many times actually. And just in case I ever have access to a time machine, I am going to keep the names I'd get my young self to get with my paper route money to myself. Actually, names were free back then.
I got a name in 1998, and it was a pain in the ass. A little different process than it is today. And then I believe I had to pay for 2 years up front at $35 a year. I believe I sent in the whois information by mail or something, and I didn't have to pay up front. I had to send the money within so many weeks or else the name would be available for anybody to reg again. I also almost got a second name back then, just I failed to send the money in part two of this process. The name wasn't regged back then and I could just reg it. Now the .com, .net, and .org are all regged. You don't need to go back to 1993 to get the best names.
Obviously the earlier you go back, the better. But I don't know if they'd let you register a hundred names back then without justification. I think they may have given you the buzzer.
If I could just go back to 1998 and know what I know now, I could make a killing.