I have the stove cover that cavie linked to. Or, one that looks exactly like it but is from 2002.
The Amazon listing says it's 1.75" thick (high), but mine is not. Mine is 1.25" high and fits on my Atwood 3-burner range. It clears the grates on my range with no room to spare.
Since you need 2", mine definitely would not work for you, and even if these covers are 1.75" high now, even that wouldn't work for you.