Corian is a plastic resin product and does not like hot stuff. Leave a cigarette burning on Corian and you'll have a permanent brown stain. Same goes for a pot directly off the
stove.
You need tile, granite or other natural stone products, or synthetics like Sile Stone which I think are a manufactured quartz if you want to go from
stove to counter top.
Problem with stone and to a lesser extent with corian, besides weight, is they are brittle. If your
boat is designed so you step on the counter going below, you may have problems unless the counter is very strongly supported. Other than that, the ability to go with an under counter sink really makes a stone counter attractive.