Sad to say, there is no workaround if you insist on using ShareActionProvider. Sure, it would definitely look nice if the popup menu for various Share apps will be displayed just below the menu item.
Since there is really no way, the only solution left is to not use ShareActionProvider and use Intent.createChooser() instead.
The results are the same, except that the popup menu will appear at the center of the screen instead of below the menu item in the ActionBar.
And the most important thing is that your icon will look crisp rather than the blurry one.
Here is a sample code.
Intent shareIntent = new Intent();