I think doing snatch balances (drop snatch) would help get you more comfortable dropping quickly into the bottom of the snatch position. Start with just the bar and add more weight. Doing squat snatches from the hang and working down towards full squat snatches would be another progression. Personally I don't find power snatches to be very helpful in learning full snatch. That's just me.
Hey, I just used the term "snatch" about 7 times in a paragraph.
Oh, and I'm not a coach so take whatever I say at your peril.