You can only transfer token if you have a small amount of ethereum to pay the gas fee.
There is no other way better to send a small amount of ethereum to your MEW then send your token fast.
The OP is aware of the fact, but wants to be faster than the bot in order to retrieve his tokens.
Well the most important part is to contact MEW's support for your account,
...
MEW is just a gateway to conduct transactions on ethereum blockchain, so the MEW support cannot do anything as the scammer is in possession of the address' private key.
Try to send a very small amount to your wallet, just enough to pay the gas. I think the bot wont transfer this amount, he may wait for higher amounts worth transfering
One can't be definitely sure of how the bot works, but there's no harm in testing this method out.
My proposal would be to send the exact amount of ETH that would just cover up the GAS for the transaction of tokens, but if it is used by bot to take away the ETH, then it would fail because the ETH would be used up in this case for GAS making no ETH left for the transaction.
I can't confirm whether it would work or not.
To execute this, some sites might be helpful :
Gas <-> ETH Converter :
https://currencio.co/gas/eth/Required Gas for Transaction at current time :
https://www.ethgasstation.info/