I've both had and heard of fantasies of the white box. It's a completely empty white room, possibly with the exception of a comfortable chair, that you can sit in and zone out for the rest of eternity. (this may be more relevant to aspies like myself, but I'm sure schizoids must consider it too)
Now, personally, I'd get really lonely, but this wouldn't be the case if I were a greater schizoid than I am. Assuming the loneliness was just magically extracted from your mind, would you actually be able to entertain yourself?
Not schizoid (aspergers) but pretty much schizoid
Panic without agoraphobia