When on a direct routing, descent initially to the grid MORA, while turning to your escape route. Follow your escape route once you’re on it.
We had an excessive amount of escape routes at my previous company, which they luckily replaced with simpler instructions like: in segment 1, turn left to XXXX airport, in segment 2, turn right to YYYY airport. The altitudes were the pilots’ responsibly. It was still a guideline only as the airports weren’t checked for suitability and there were usually better options available. It gave you just one option that complied with the oxygen and fuel requirements. In an emergency you do whatever is required in the interest of safety. The only true escape routes that remained were for the Himalayas.