Griddle options for our grill

Used a cast iron griddle on top of our grill to make some smashburgers recently.

Now looking for better(larger) options for our 2012 Weber Genesis S-330 NG SS Grill.

Weber only makes a half-grill sized griddle insert for my year/model.

A buddy has a different grill and got a full sized insert from Weber.

There are some non-Weber options, wondering if anyone has used them.

One of the options had a choice of stainless steel or baking oil steel.

The description for baking oil steel says its carbon steel.

Saw a video with a ceramic coated option.

Any thoughts about stainless steel vs baking oil/carbon steel vs ceramic coated ?

Thank you.

EDIT: Change Bakers to Baking