Got an idea for you if you want to fight this problem.
Back when PFC was experimental....and soft recovery diodes were not available.....I fought ff current in a big way. With 400 volts of supply, it was hard to find a good diode for the job.
So one of the things I played with was to limit the current on the MOSFET during the rr time. (FET + Diode)
I added a source resistor+inductor (bead). In your case the top FET, not the bottom one.
In your case you need 14A to lift the inductor and lets say 14 more amps to fight the diode. =28A
Use a source resistor sized so it will limit the current to 28A.
....Gate drive =10V, 4V gate turn on voltage, so at current limit there could be 6 volts on the source resistor.
The bead saturates out after 30nS*6V so it shorts out the resistor and removes the current limit function.
I know they say to never put inductance in the source but.....