. . . continuing on . . .
In fact, there are several images of Tom in computer games devoted to LotR. Perhaps Tom holds a special appeal for gamers?
And of course there are those who cannot resist the urge to recreate Middle-earth in Lego.
If these other artists can be drawn to depict Tom, why could not PJ attempt it also? It seems to me to be a limitation in his imagination/interpretation of Tolkien to forgo the attempt to depict an enigmatic character and a place of unusual fairie elements. Although of course I don't have access to Jackson's internal thought processes and can merely make suppositions about the absence of the House of Bombadil from the film.