The robot isn't too implausible, if you could convince your date to accept a telepresence which is just weird and wacky enough it might work some percent of the time. The hard part would be getting the AI good enough, but it's not impossible.
Weird and wacky? Sure. But if I were a lady I wouldn't want to be seen out on a date with a telepresence bot. (In fact, it's not even telepresence - it's surrogacy!) Perhaps if distance were an issue I would accept a Skype date at a restaurant (with a live date on the other end). Bringing my relatively inconspicuous iPad and conversing with another human is within the realm of socially normal behaviour.
I don't know. As a "female" I started getting that squicky dehumanized feeling... until I realized the possibilities. Put that boy on mute and you've got the makings of a lovely subsidized evening!