public bus jimani-sto dgo
A guagua leaves every 1-2 hours from Jimani to the capital. They are pretty nice, all have a/c, but get crowded before they leave so get to one early for a good seat. If you have a lot of luggage, you may have to pay for an extra seat. Those guaguas pull a small trailer behind them for luggage and not sure if they will get it out for you in Azua. Not sure of price, but like it was mentioned will be less than $10. I know this b/c lived on a road where they pass through. To find them in Jimani, there is probably a stop they all leave from, just ask anyone "guagua capital?".
Caribe Tours would be a smoother ride if you can do that, but I'm not sure if the one coming from Haiti will stop at the little station in Azua or only in the capital. Give it a try though.