I wrote a [Data Explorer query](https://data.stackexchange.com/stackoverflow/query/131059/advanced-search-for-answers-posted-to-your-questions) that does this. You can search the body of answers given to your questions. 
As the data explorer gets updated weekly, this is a workable solution till advanced search gets an update (**if**).

It can also handle upper and lower limits for vote count of answers.

**Update :**

Now also handles accepted status of answers!

**Update #2:**

Now question tags can also be searched!

**Update #3:**

Search within *your answers* to your questions! (that is, self answers or self-answered questions)