Quick and stupid question. How to make a Drone fly?

Go into the data editor and change the Drone's mover to fly, probably change the collision to fly as well.

I can only edit the name of the mover. Everything else is greyed out. Something tells me that the name wouldn't affect anything. I'd test but there doesn't seem to be a single-player mode in SC2 beta.

Grey just means unedited, not can't change
Double click where it says "ground"

Also, there is a test button in the editor that launches your map. The "SC" with the arrow underneath.

You misunderstood. I did double-click on the mover where it says "Ground". A dialog box popped up, with a bunch of options. All of them were greyed out, except for Name. When I tried changing them, nothing happened.

Are you looking at the drone unit object? Or the mover object?

The mover object.

Wrong place, go to the Drone Unit, look for the mover field.

Erm, that's what I meant. Here's a screenshot that should explain what's going on:

This is what your looking for.
What you're looking at is the links tree.

Attachments:

Ah, thanks.

You can also change the height so that it appears off the ground in the Art - Height field, found in the same place.