No, don't do this in any shape or form. If you want to work remote from abroad, tell them. Set expectations as to your performance and availability. Negotiate on their concerns. Don't do it on the sly. Like you mentioned, the mental overhead of lying will impact on your life. Think of it like cheating on your significant other.

In the very slight chance you are already doing this (cannot tell), you need to come clean with your boss immediately, preferably face to face.