Don't cut the dog's tail off by inches:

Write test code, where we easily can

and

Work towards being able to i Implement test driven development.

This Rx has problems of course; problems beginning with "business side of...." but that's a copout too! The finance folk aren't going to shift their approach unless and until you demonstrate that swabbing a little money on the problem (that you recognize and you need to make them understand) will save a grundle of $,yen, euros or whatever in the (short-term) future.