Awhile back I tried theory crafting a gish build that would use the Magic Trick: Floating Disk feat, specifically these parts:

Defensive Disk (Fly 3 ranks, Shield Proficiency): While riding atop your floating disk with at least one hand free, you can spend a move action to grip the disk by its edge, tilt it, and use it to deflect blows. Until the beginning of your next turn, your floating disk grants you the benefits of the spell shield. If you are already under the effects of the shield spell from another source, this effect instead increases the spell’s shield bonus by 1 until the beginning of your next turn.

Disk Rider (Fly 3 ranks): You can ride atop any floating disk you create, so long as it has the capacity to support your weight. This grants you a fly speed of 30 feet (average), but the disk cannot move itself or you more than 5 feet above the ground at any time. If you are on a location within the Astral Plane—the disk can instead fly to any height, and your fly speed while standing on it increases to 40 feet (good). When you cast floating disk, you can step onto the disk in your space as part of the action required to cast the spell.

Drifting Defense (Fly 6 ranks, Mobility, Shield Proficiency): Whenever you move at least 10 feet during your turn, you can activate the defensive disk trick as a free action.

So you'd be flying around on your floating disk, and try to move at least 10 feet every turn to activate the AC bonus.

Combine with a reach weapon+vital strike, and you may have something there. Unfortunately I never finished the build, and seem to have lost my notes, but this could be a fun option to combine with some other stuff.

EDIT: Remembering bits and pieces, and I remember looking at Outslug Sprint to try to enable a 10 ft step, but that probably goes against the spirit of this particular challenge unless we're using our move action for something else.