Sure. Have an Eyes Wide Shut party if you're both into it.
I conclude, however, that you & the gf are <5s. I've been propositioned by couples and none of them resembled attractive, which was both flattering and insulting. And a little bit sad since the absolute best you could say is that they were solid but bored with one another sexually.
So if you can both get your rocks off before the whole show goes south then why the hell not.