You want to know the most efficient way to get a medical procedure down outside of the normal medical system? With the caveat that going through the normal medical system is, duh, not the most efficient way?
http://articles.latimes.com/2002/jun...lth/he-tests24
Penny wise, pound foolish.
The only reason I can think of where one might want to bypass the normal system is because you don't want something to show up for insurance reasons. So you don't go through a doctor, you pay cash, you get no interpretation, guidance, or followup. Not to mention, no treatment. It doesn't strike me as very efficient, for most people.