We use silicone pot holders as trivets for hot stuff. I just looked in Dh's order history and we have these.
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1 They are thick and easy to clean, no crevices. I usually just use hot soap water as needed but they can also go in the dishwasher. Ours are almost 12 years old and still look great.
No issues at all with our flat electric stove.