A year or so ago I took the time to fly around the world in the SR22. I, also, went Eastbound. My route from the UK to the USA went down through France, along the spine of Italy, across to Greece and then through Turkey.
From there I weaved my way across the Middle East and down to Dubai. From there I headed North East and along the southern coast of Pakistan, across India and then down through Asia to Singapore. I continued SE to Indonesia and then up to the Philippines, Taiwan and up the spine of Japan and followed the airports that run North East from RJCM to UHPP and then across the Pacific to PASY and made my way along the islands that run up to the SW tip of Alaska.
I have only included that part of the trip that is relevant to where you are now in your current round the world trip.
The total distance for my round the world trip was 19958 NM and the total flying time was 112h44min. I used LittleNavMap to plan my route and it helped me keep logs for each leg of the journey.
I wish you continued enjoyment!