You can already limit results to a specific user account using advanced search operators. It's even easier to limit to your own posts:
user:me is:question your search string
If you want to use tags, just add them to the search
user:me is:question your search string [tag-name]
user:me
automatically expands out to user:{user-id}
.
Lots more goodies at How do I search?How do I search?, including details on the advanced search operators. No need for a new feature, I don't think. With this you don't even need to go to the profile page.