My general thoughts would say to go along the west coast of the Americas. You've got Canada, the Rockies, Chile, and Antarctica. Though I'm not sure where it comes out at the other side.

Edit: nope, ignore me, that line misses Antarctica entirely and doesn't reach land until you get to the Philippines 😂

To be fair, it's got to be somewhere around there as you ideally want to miss the Pacific Ocean entirely. Yes you hit the Indian Ocean, but then the line would go up Eastern Asia and back around to Alaska.

Edit 2: if you draw a line directly down Chile, it his Antarctica, Western Australia, China, Russia, Greenland, Eastern Canada then back down the Atlantic to Venezuela.