Using the 1uF/25V tantalum I see a 12V square wave across the FET, you really think this is risky? I never see anything close to the cap's voltage rating.
My first attempt was an RC snubber across the FET, 1Ohms, and 470pF, I saw no impact then I tried larger capacitance and the ringing went away... I can experiment again with the small snubber