The problem is not sending packets fast enough. It's not about bandwidth. The problem is sending them just fast enough, which is impossible if you're scanning statelessly with just ICMP echoes.
Let's say you're on a 100 mbit ethernet, your uplink is only 8 mbit. If you send packets at a rate of 10 mbits, packet loss will happen. And you're not the only one using the network either, so this can happen way earlier. And that's only the part of the network that you control. There might be a lot of hops between you and the host you're sending packets to. And with your approach (the way I understand it) you're not gonna notice packet loss.
I might make too many assumptions here, but ten hours is just too short of a time period for a network of that size for a reliable result. I'm very sceptical. But please prove me wrong, because it will def. make my job easier.
I guess you could publish the code, so I could test it myself.
You can split the address space up across several different scanners on different physical links. You can estimate the RTT to a network segment you're scanning and base your timings on that. Probing with TCP packets can yield better results than ICMP packets for this type of activity. There's so many variables involved.
Build a tool that allows you to send ICMP packets at a fixed rate (preferably in the kernel, or even without an OS at all if you're into that. Getting precise timings in user land is hard) or just a tool that sleeps between packets with the possibility of not sleeping at all. It's an educational experience. Scan a relatively small range of addresses bound to hosts on the other side of the world at different speeds and see the diff in results. Maybe there's a good tool for that already.
Whenever I read about "We've scanned/product X can scan the internet in X hours" I'm very sceptical. Unless the results are verifiable in some way (which is hard to guess/estimate for such a large sample) or the approach they took seems like a sane one (very subjective I guess), I assume they don't know what they're doing. The reason I assume this is because I've been there myself.
It works perfectly well as long as your results are not used for anything important I guess. But if you have customers who needs reliable results, this naïve approach simply don't cut it in my experience.