My personal opinion is that it is not a problem as we also accept deposits. So if you have made 5k from the free rolls you can deposit 25k and withdraw 30k.
As we're adding more coins which are likely to be more suitable than Bitcoin for micropayments, the issue will probably go away then anyway.
Yes, with addition of other coins withdrawals of small amounts will have no issues, but I still suggest you to keep the old name, FreeBitco.in, since it's very well known in the Bitcoin community. For example, The Coca-Cola Company produces not only Coca-Cola, but also Sprite, Fanta, various juices, vitamin waters and ice teas, but after a long history of acquisitions they still keep the famous name. Imo FreeBitco.in stands out among the faucets like Coca-Cola among the beverages.
FWIW I agree about the name but I'm not the boss. He wants to get away from the 'free' bit of the name and make it more of a non-KYC exchange come gambling site.
Creating an exchange which does not require verification is a great idea, especially these days when more and more exchanges make it harder for potential customers to register. But still, although the old name, FreeBitco.in, may appear misleading in this case, I suggest to stick with it nevertheless. To enforce my argument, let me present The Coca-Cola Company as an example again. Coca-Cola once contained nine milligrams of cocaine per glass, hence the “Coca” in the name. There is no cocaine in Coca-Cola since the beginning of the 20th century, yet the name still remains intact.