Done that too, looked at the transactions before, tried matching the date with my history, but the last withdraw was made in may and i only had until middle of june left.
Tried looking in my search history too, to see what i search for around april may, only connection i found was to bitcoinincome, the scam site. So i think it's there the money has went
Not trying to cut your hopes here, but you have mentioned that the only connection you found is with a scam site. So if in case that the address belonged to them, you have no other option but to let the coins go, as it would be improbable for you to at least even talk to the owners of that site and ask them to return those coins to you. Also, I have a question, why wouldn't the withdrawal address change if you input them? Are there any kind of 'remember this certain address for future withdrawals' function in there?
I know, never really thought i would get the btc back, lost that hope when i start digging ;P X-value have the last withdraw adress in the window when you are going to do a withdraw! Why it didn't change I don't know, like I said it was the second time it happend.
there is no option to reverse your btc to any account. but you have a way that's not any technical trick or idea,but if the person who got your bitcoin by your mistake is honest can give it back.
Since the coins was moved in the same second to a big wallet I don't think it's an honest person owning the wallet.