As others people said, I follow the possibiliy of a web browser failure.
Do you know that is possible to create offline transactions with MEW ?
https://myetherwallet.github.io/knowledge-base/offline/making-offline-transaction-on-myetherwallet.htmlThis could help you in the future to be protected against web browser attacks.
In my situation, I have an offline computer (this computer is NEVER connected to the network), I have the website in local storage and I follow the steps as described on the link.
This is quite impossible to hack you, as your private key is used on the offline computer, and if you use a dedicaced usd key for transfering the transaction information, and if you format it every times you use it, I think it becomes really hard to hack you

I take care to delete the partition on the USB drive before every time I plug it again on the offline computer, to avoid possible viruses transferts.
Anyway, you could use an hardware wallet, but you still have this possibility if you don't want to
