The mechanical pencil has worked marvelous for me too...I use a Pentel .7 mm as it has a long metal tubular 'tip' the lead comes out.
But there are usually some pins that are laying too flat to get the tip over. For those I use a long needle that can slide between the rows and underneath the flat pin, then pry it up just enough so the pencil tip can slip over it and then straighten it.
Bend them slowly and as little as possible so don't overbend or bend back and forth trying to straighten one up as it's easy to cold work the metal and make it brittle. Instead, once you have the pins reasonably straight slide a credit card between the rows, both directions, to get them in alignment. Don't be too aggressive with that as it's easy to...