Joel K. has put all the clues together to get the correct answer, or at least as close as one can get without further tedium. Sandwich + Britain + grilled = a British grilled sandwich. As anyone who’s visited the UK (or looks on Wikipedia) knows, a British grilled sandwich is called a “toastie.”
The name of my bear is TOASTY. “Toastie” is close enough, so an autographed volume will go out to Joel when he sends me his name, address, and preferred inscription.
Congrats, Joel, and now let’s get back to our usual discourse.