I am not talking about scams
[~snip~]
So, you need to think creatively and create a buzz with let's say only 1-2k$. What would you do?
If the token is not a scam, then imho you have to hype the underlying project, the one that will bring usefulness to the token, and then hype the token. (or, well, you can do together too).
You should explain very well how the project can be successful. You have to make people understand how their investment will bring them more money.
I don't know that much about budgets, but you can find easily a cheap army of advertisers on Twitter, for example. But their audience may be limited basically to the other advertisers/shitposters.
They can bring you back links, they can probably get you into the attention of the robots, but I am not that much sure about the attention of real people.
If you want proper audience from crypto lovers you can clearly advertise here (signature campaign). It would be great. Just then you will probably have to pay more than 1k$/week, hence you can dry your budget super quick.
Of course, here, on Bitcointalk, you will have to start with a proper announcement thread (in altcoins' subforum). That's for free (well, if you want to add pictures there you may want to spend a couple of $ in bitcoin for a copper membership) and can get the discussion started. If the project is very good, it will already get some interest/buzz there (although I see that more an organic growth than a short-lived, higher intensity buzz).