When I refer to JRRT, I always use his initials. I feel almost everything else is less appropriate. So'it occurred to me that it'd be convenient to have his monogram available as a useful alternate.
Of course you'd need permissions. This a Link to the artist that designed the above:
An article about her: http://middleearthnews.com/2014/10/26/the-tolkien-inspired-art-of-norloth/
And the Estate would have to chime in. And someone would need to do the tech work to make it into a Smilie-type symbol.