The way the new law looks to me is that in order to continue "dealing with Bitcoins" Just-Dice would have to start collecting private information from its customers, reporting anyone transferring "suspicious" amounts, and other such invasions of privacy.
That kind of behaviour is not something I would want to be involved in, and so I am asking that you withdraw your coins before they start enforcing the new law.
Can you open doge-dice and limit investments under one account to 100,000,000 DogeCoin? Surely the government doesn't expect you to try and correlate different accounts to look for potential common ownership. How would you do that anyway?
The restriction would by definition be small enough so that there were no suspicious activity of interest to the government. At least some of the smaller players would have a clean well lit place to go.