Once again, you say:
> Since gold's supply is relatively fixed, as the dollar declines due to inflation, the gold price will appreciate.
You are assuming that gold is "safe". It's not. If gold dives right when you need to pay back the card, you will start paying massive rates on the card. Not cool. Not even gold bugs suggest gold is a safe "no brainer" 6 month investment - there is a chance it will fall.
Big call - that gold will appreciate. Some people think that since the P/E of gold is effectively infinite, gold should be worth essentially nothing. Now, I'm fairly bullish on gold at the moment, but it's not guaranteed to appreciate. As credit collapses, cold hard cash becomes valuable, as you need it to buy the distressed assets of former paper-millionaires, or to invest in a much less congested market, or buy old tires to repair the soles of your kids shoes, so you actually go into deflation. And the US can sell off gold reserves if it gets in trouble (though there are conspiracy theorists who say this has already happened), and that would hurt gold prices.
If you get $10,000 from zero-interest credit cards, and put it a 6 month term 2% / year deposit, you debt is $10,000 (really $9,000 after massive inflation), while you get back $10,100 (really $9,090). So you made $100 (really $90, with some crazy inflation sucking up your winnings). A free $100 is arbitrage.
And old (and very similar) scheme was "Check kiting" - you cash a check (possibly for a very large amount), then deposit the money in your savings account (or use it as an emergency loan). Before the first check clears, you cash another check, and use it to cover the first one. If you miss a beat, you go to jail.
Instead of arbitraging the interest rates, you could make a leveraged bet on gold, houses (they always go up, because they 'aint makin' any more land, you know, and the population keeps increasing), shares, options, pork bellies, or cans of sardines. But the danger is, that some wacky market dynamic will wipe out your position, leaving you with a credit card debt you can't repay. Maybe you are a great investor, and know how to pick winners (and cover your downside) but great investors don't often need to borrow a few thousand off a credit card.