How would I do this without gyros?

I want to make a fighter jet that can pull this manuver, but I'm not sure how to pull it off. I don't want to use gyros cuz A) that's boring and B) that's too easy and there's gotta be a way to do it with flaps.

The only parameters i really have for this manuver would be that the jet's wing axis must remain as level as possible and not change in altitude during the manuver. Any help with this would be very appreciated.