There's nothing blockchain.info can do to help you get your coins back.
If it cheers you up in any way, I've lost over 30 BTC over the past year to scammers and lost wallets...
I'd consider your 2BTC loss as lucky. Many of us have lost much much more experimenting with Bitcoin.
So you've lost more than 2 BTC "experimenting?" As in gambling and getting scammed?
Doing that, you already know the risks and you did it knowing there was a chance you could have lost the money.
The OP got the funds stolen against his will. So if you lost the BTC gambling, getting scammed, that was your own fault.
Of course, this OP should have just used bitcoin wallet QT or have the info backed-up