Try asking a girl out to a museum. Think about it:
It beats going to any bar. You get to see interesting things, that you would have wanted to see anyway, and you don't even have to drink alcohol. Even if the date is a bust, you still used your time productively. Plus, you stand out immediately from anyone who's ever asked her out. It's win-win-win. I don't see any blind spots here.
You might say it will be hard hitting on her and groping her or whatever in the museum. But if it goes well... you can still go for a drink after. And even before the drink, what I would do is still probably take her by the hand or by the waist in the museum.
I am just making stuff up and haven't tried any of this, but it strikes me as a great idea. Unfortunately I can't try it in Tenerife because there's no museum here I'd be interested in visiting, but as soon as I am in a cultured place and get a chance, I'll try it out.