The best way to distribute tokens if there's no ICOs or IEOs is through bounty and airdrop campaign. Marketing it should take the form of paying for ads in top websites as well as reaching out to known cryptocurrency influencers to talk about the project.
I think bounty and airdrop campaign would be fine on its own if you're are not planning to conduct an IEO/ICO. You pay for ads if you're gonna conduct an ICO to reach more potential investors on your project.