The Strata Mini's use Monsoon Neo panels for the mids. They are the exact same mid used in their computer speakers. But, your Mini's use a later version of the mid. The PC models using your mid are the MM-702's and the MM-2000's. These pop up on ebay fairly regularly. Be aware though, your mids are different than the MM-1000 and MM-700 Monsoon models. So, don't buy those thinking that they will work! The 700 & 1000 panels have a completely different impedance, and aren't substitutes.
Also, check the panels, front and back, for peeling of the nickle coating on the Neo magnets. This can look like a thin strip of loose foil, hanging just inside the planar cut-out holes. If there, it can rub the planar membrane, and buzz, causing distortion. Use tweezers and carefully peel it away. Caution, the Neo magnets are STRONG. Use non-magnetic tweezers to peel off any loose material, otherwise the magnets can pull a metal object into and through the membrane!
Next, some of the early Monsoon mids experienced distortion due to a faulty solder joint, where the internal speaker wiring enters the mid. This can be carefully re-soldered to fix the issue. Some owners even drilled out the rivit that the wiring is soldered into, and replaced it with a screw and nut, with a wire lug, to repair the connection. While not complicated, it can be difficult to do, since the tolerances are 'tight' around the connection points. It's easy to damage the planar membrane if not careful!
Finally, the "contacting Danny Richie of GR Research" suggestion is good too. Danny designed these speakers. Danny comments daily on his Forum at Audio Circle, and would certainly respond to any inquiry concerning your speakers!
http://www.audiocircle.com/index.php?board=16.0
http://www.gr-research.com/
Good Luck!