Yeah, even better is the image of a laser speckle pattern -- it's probably not as familiar of an experience, though!
The pattern of light cast by the reflection from a pool is also good to think about (but again, missing interference).
The interference pattern suggests a possible remedy: use an array of several antennas, say odd fractions of a wavelength apart. Attach a receiver to each, preferably with synchronized LOs. The combined detector outputs (should be fine to mix with a regular audio mixer) will be in phase* and, as the patchy "light" cast on your array moves about, one area will dim while the other gets brighter, and your antenna array spanning those patches will pick up a nearly constant amplitude.
*Unless multipath from layers (different altitudes) occurs, in which case some echo or notching can occur in the audio band.
This is called diversity, and is the basic reason why it is so wonderful. Downside, multiple receivers and a huge amount of space required for all the antennas!
I wonder if this analogy is actually physically correct -- I think the time and length scales ought to be typical of gravity waves among atmospheric layers? But, I know there's a lot of plasma physics going on in the actual ionosphere. It could just as well be that layers come and go, as radiation showers down erratically. Or a combination of both.
Tim