I gave up trying to find a video, there are so many different kinds of pushups and the only thing that really makes this different is the starting position.
Perhaps a different explanation will help.
Body flat on the ground, face to the floor. forearms on the floor, hands/fingers angled in to point to the temples. Maintain a plank position when using the arms to raise the body into the pushup position maintaining the same hand position/angle as when you started. So your entire body rises at the same time.
Crankin, I found a video of the "Gator Pushups" which look like what you described and it looks positively brutal, I can see why you didn't like it. But you did it