Don't know if Beringer has a disk brake retrofit approved for the LS7, but they have an STC kit for the LS4. I installed a kit on my Pegase 101A and it was no problem. (But I am a decent mechanic, not a bank clerk ;-)....)

I had the whole original Leleu wheel and brake system removed and the Beringer installed in an afternoon. I only had to ream the caliper retaining post hole in the glider landing gear leg a couple of millimeters.

Totally satisfied with the quality, ease of installation and, most importantly, the ability to stop in half the distance if necessary. But that says as much about the OEM brake as anything.

https://www.beringer-aero.com/en/complete-kits-stc