"...Companies are very adverse to VDRPs."

Depending on the principal inspectors, the VDRP my company used was very successful, and really works well with SMS. We would discover (inadvertent, unintentional) violations from internal pilot reports, or sometimes records reviews, and disclose them to FAA with a 'comprehensive fix'.

We improved our processes, and never once received a civil penalty or certificate action; both the company and the pilots involved.

And if FAA issued a Letter of Correction (which they sometimes did) it was in the name of the certificate holder; NOT the name of the pilot! This is the real downside of ASAP, is that the LOC is on the pilot's record; not so with VDRP.