On all three of my credit cards you can get cash advances, but it's only 50% of the available limit aka if your limit is 1,000 you can only get $500 cash, less if you already spent $100 on it, would only be able to get $450 cash etc..
Your best bet here is to apply for virtually any capital one card, they determine your limit on your income(lie here, I said 55k a year and only got $800 limit). Actually, scratch that, get a credit card, pay the bill in full 2 or 3 times, then go to one of those peer to peer lending sites, you may not be able to get 25k or whatever, but It'll be alot more then the 500-1,000 that most credit card companies will give you off the start.
I'd say you could probably get 10 grand if your credit isn't already fucked and you follow everything I said here, best of luck.