Perhaps not using purely bitcoin, but using it as a medium of exchange still makes sense with a volatile currency. As long as bitcoin is converted to/from a fiat currency within a short time period the risk of value fluctuations is pretty low.
This is the approach that coinetize (https://www.coinetize.com/) seems to be taking. They take bitcoin (among other payment methods), and convert it into credits which are valued at fractions of a dollar, and pay out bitcoin to the journalist when these credits are spent to access a page.
The transactional cost for bitcoin is too large to make 1:1 btc micro payments work right now.