Many, many post-docs (not just academic med or VA) will require or heavily favor applicants with APA approved internships. I even saw a very "no-name" college counseling center post-doc position advertised this week (whose stipend was a measly 19k) that required an APA or APPIC internship. Many, many job advertisements that I see coming across on list serves have this as a requirement. Although some of them do state "APPIC/APA".... but it's my understanding that these CAPIC internships are not APPIC either.
Yes, all of us think the match imbalance is unfair and its true that not matching no longer automatically denotes bad training/personality. However, I don't think anyone on here would agree that CAPIC is the answer to this problem. CAPIC seems to only reinforce professional schools (who largely contribute the imbalance by having cohorts of 40, 50, and 60 students) to continue their irresponsible practices by simply steering people away from accredited internships (stating that they are simply "too competitive") and lowering the expectations of their students. This, in and of itself, puts a stigma on these students and makes them less competitive for jobs in the rest of the country. In other words, I think the CAPIC thing is only adding to the professional school grad's stigma, not helping it.
I understand that relocation may be an impossibility for several reasons (e.g., kids, spouse job, taking care of one parents), but one should be aware that they really are ruling out alot of lucrative career options for themselves (many formal post-docs, VA positions, hospitals and academic med centers). Many CMHCs, even in CA, will pay considerably less than most other types of employment settings. Not only that, but your earning potential tops out very quickly in these setting (unless one moves to a more administrative position). That's not all negative I suppose, but I think most people would like to see themselves climbing the pay scale as the years go by. Moreover, there is relatively little upward mobility within them. To me, this is way too restrictive a career choice, given that I have spent 5 years of intense clinical and research training in a Ph.D. program.