$3k worth of Paradox Coins to a few 'Lucky Winners', sounds more like a contest than a traditional airdrop.
Have you guys thought of doing a retroactive airdrop instead? Distributing the native tokens to actual users, early adopters of the platform. Seems like that is the trend these days and it usually yields good results towards the project.
Another option is to run a bounty campaign here on Bitcointalk too that could help this project generate awareness and exposure here and outside of Bitcointalk; let me know if you guys are interested in running a bounty campaign, I might be able to help.