I forgot to mention I also had a punctual plug which was a great help to me. With lid closure mine was removed. I still have some small lagophthalmous, but no exposure problems to my cornea as a result.
I am surprised to hear that the Medrol pack is the "best." The methylprednisone had no effect for me so I was on decadron for a month, decadron rule of thumb is that it is at least 6 x's as strong per mg. But maybe your more minor swelling accounts your doctor's decision.
And no, I did not do type of any therapy. Synkinesis can result from the lesion on the facial nerve from the swelling when it heals. The new neurons can mis-wire, connect to the wrong places. In my case it is called jaw - wink syndrome. When I open my jaw to yawn for example my eye would close. Closing my eye tightly would move my chin. Pursing my lips or chewing would make my eye squint. Another feature of synkinesis is tightness of the muscles. My right eye is noticeably smaller than the normal left one. I believe a rule of thumb is to not attempt therapy for a year as it can make things worse. I waited until today which is one year since I first started to see movement back in the corner of my mouth.
I have learned that, at least in my own case, I can minimize the mass movement in my face by slowing down the motion that produces the incorrect other movement. If I chew slower, my eye does not squint as much. If I close my eye slowly, my chin movement is less perceptible. The other technique I discovered is relaxation. If I concentrate on relaxing the area just under my eye, I can yawn without my eye closing. It has taken months of practice to slow down my facial and jaw movements and to make a habit of relaxing my jaw and eye, but it does work for me and hope it will continue to improve. The Cleveland Clinic speech therapy department has given me exercises to improve muscle tone and strength now that I am one year since recovery began. They also recommended stretching and massage techniques and to try to get back to HB Grade I, or normal.
Where did you have your GK procedure done?