I think, you may want to try another approach with folding enabled.
In both ST2 and ST3, if you enable folding in User settings:
{
...(previous item)
"fold_buttons": true,
...(next item, thus the comma)
}
You can see the triangle folding button at the left side of the line where the start tag is. Click it to expand/fold. If you want to copy, fold and copy, you get all block.
