Tablet right over the handlebars works perfectly for me (Tacx mount). I considered purchasing a large OLED, but I decided not to after experimenting with a TV from another room.
Another thing is that I see so many setups with the TV mounted way past eye level, to the point where you have to crank your neck up to see the screen. I don't understand this practice. I also see it in homes all the time (living room, bedroom, etc.)... TV mounted way high in the air. This is a terrible viewing angle and anyone with home theater experience (or common sense) understands this concept.
If you want the big TV experience, I would mount it LOW, as-in only a few feet off the ground. It sounds "wrong", but that's only because we're so used to seeing these ridiculous skyscraper TV setups.