A faucet is really a website you do something small like type in capatcha and get a very small amount of coins.  A dice game could include a faucet like function ( look at prime dice is best example.  You type in capatcha and get small amount).  You could do it in the dice game or separate page completely.  In game is a lot nicer for users.

You might consider hiring someone with your coin if your trying to make it work and need a lot of advice.  I think your most difficult item will be getting it on a exchange.  Espically with premined getting attention will be hard.