In most cases, you can wait for some other country to spam influence, and Austria will burn a Discredit or Ban on them instead of you. That leaves Austria with insufficient Influence to stop you. Once they get up to around 45 points, and haven't Discredited me, I stop all Influence there and wait for them to burn their points on someone else. The best way to not get hit bay a Ban or Discredit is to NOT step in front of it. As long as you're not actively putting points into influencing, the AI will never hit you with its diplomatic weapons. I NEVER spend any Influence points on offense during the first 2-3 of days of the game, until most of the countries have shot their initial volley of Discredits. You can put a pip or two into a country that's already in your Sphere, until Austria, UK, and France have burned their 25 discretionary points, then pounce on whatever you want.
In the long run, waiting for some other country to take the Discredits or Ban for you then forces those countries to burn Political points to repair the damage to Relations, while you're still on good terms with both.