I really wish there was an option, other than that grip Derek mentioned that I just dont see working worth a shit, for another set of shoulder buttons on the Vita. I love playing games on it, and it would work great for remote play if it had those. As is, even with some basic games like I have played on the PS4 (most recently Monopoly Family Fun Pack) the lack of L2 and R2 make it almost useless to me for remote play. If they fixed that, I would probably start complaining about L3 and R3 and still not be happy though.
Even as an owner of a Wii U, I am not a huge fan of the console. However, that large gamepad for playing sans TV is a killer feature. Remote play is so close but is just nowhere near the same experience, IMO.