Best overlap: 8:00 AM to 12:00 PM in Austin is 2:00 PM to 6:00 PM in Reykjavik.
8:00 AM to 12:00 PM in Austin is when Reykjavik is also working, at 2:00 PM to 6:00 PM their time. Roughly 4 hours of common time means scheduling is manageable; just avoid the very edges of the window. Just remember Austin changes its clocks for daylight saving and Reykjavik doesn't, so confirm the overlap whenever the seasons turn.
24/7 support sounds great until a P1 ticket falls into the gap between Manila signing off and Dublin signing on. Here is how to design a follow-the-sun support model that actually catches tickets at the boundary. -