There are sites that tackle your problem, for instance this one:
https://www.gamblingsites.com/online-gambling-jurisdictions/Some countries allow you to register a business online, but it's still better to be able to go there personally if a problem occurs, so choose a country that is nearby, or at least has a decent connection and you won't require you to pay 1k USD for a one way ticket.
If you aren't familiar with the laws, hire a lawyer that is also a local resident. He'll handle things for you. I think that if you're willing to invest over 200 BTC in a business a legal advisor is a must.