A suggestion/Idea

Not an out-of-the-box way. But you could do the following:

1) Make a template in your theme which is just a blank page. But make sure it still calls wp_head() and wp_footer() so you get all the scripts and styles you need.
2) Add your Give form via the shortcode to that page and select that blank page
3) Create a facebook tab (https://developers.facebook.com/docs/pages/tabs) and point it to that url.

We’ve tossed around some ideas for something like this, but haven’t started it at all. Not sure how much interest there is generally, but if you get it up and running I’d love to see it in action.

Thanks!

I will give it a try and let you know how it turns out.