If you call a few local cabinet shops, you will find some that fabricate Solid Surface (ie Corian type) products. Take a template to them and they can fabricate sink covers for you. I did that often when I had my company.
As far as heat, no plastic will stand up to a hot pot. Also, if draining boiling water, turn the cold water on and pour the hot water into the stream to temper the water, hot water can cause issues with the plastic sinks.
2011 Toyota Tundra double cab