Depends on what you're going for. I personally quite like uniform drops.
If you'd want to distribute tokens for a video platform, then give people tokens for each Youtube account. Game platform? Steam account. Social media? Facebook account.
Yes, you can game the system by making multiple accounts but you might be able to reduce abuse by implementing a simple check. (Profile picture? Some account activity?) Just seems to be the most fair distribution.
Only works if your application doesn't depend on privacy/anonymity though.
RE: What is the best way to distribute a new token? Let's talk airdrops.