I know this doesn't intuitively make sense, but in teaching it this way for years I can tell you that it works.
First, your ski can only be "trapped against the rope" if your ski is fairly verticle.
This method fixes that.
Get you knees up to your chest inside your arms.
Get the ski well out of the water, with your toes on your front foot near the water's surface.
Rear foot tucked up near your butt.
Keep your arms straight, chin up.
When the pull comes on relax.
As you feel the water push on the bottom of the ski, extend your legs and stand up. after you get used to this method, you can start standing up quicker, but for now do it gradually.
The ski starting up higher, will immediately roll down flat on top of the surface, rather than plow, the tip will be nowhere near the rope. The ski should be on a relatively low angle because your back foot is tucked up.
Here is a decent shot of JMac starting....
https://youtube.com/clip/UgkxOq4UofGCdmsa9vqN35MoneZTbsc68Buq?si=mgH82ZVwSGYo3VPh