Late night taxis at the Rosslyn (Virginia) Station

So I have a flight that's arriving at DCA at 10:45pm, estimated, and my hotel is next to the Spring Hill station on the Silver Line. Google suggests that the journey may have a transit time of 50-60 minutes, which is cutting it pretty close since, on Sundays (when I'm arriving), service ends at midnight.

So what I'm thinking is... depending on the time I get off the plane and to the subway station would it make sense to take the subway to Rosslyn and catch a taxi from there to my hotel? Do taxi's wait around at the Rosslyn station? If not then my ability to flag a taxi down is pretty much going to be non-existent, which would make it a non-workable solution.

Any ideas?

Thanks!