Cheapest Safe mexico city for Family of 3?

Im a professional online poker player from the U.S.A looking to relocate so I can play online poker again.  Due to The government seizing my funds my bankroll is limited.  I think i can stay in mexico for 6 months?  Is that 6 months out of a calendar year or do i just need to leave for a day? I need a city with reliable internet and i need to open a bank account in mexico.  My wife and one year old son will be joining me.  I am exploring other countries but the more i look into them the more mexico seems the place to be.  Would $10,000 after travel expenses be enough to live good for 6 months?  thanks!

charles