Nice weights! You are ahead of me.
I would practice drop snatches (aka snatch balances). It will reinforce getting under the bar fast and having to quickly lock out under the bar.
Also, as a part of your warmup do some “press unders”, stand with the bar on your back like you are going to squat using a snatch-width grip, and squat under the bar while pressing the bar up at the same time. Sit in the full squat snatch position for a moment for standing up.
Aren’t “press unders” also called a Sotts press? Whatever you call them include them in your workout or at leats in your warm-up.
Sotts Press is executed by starting in the bottom of a squat and then, while staying in the bottom position, press the bar upwards. Requires a lot of tension and flexibility.
I have a similar problem with my snatches. I do Overhead Squats, Snatch Balances, Pressing Snatch Balances, and Snatch Push Press + Overhead Squats.