0) Start with background:
Looks pretty senior. Runs the federal government's DOJ office in Massachussetts, with an office of 200 people. By no means the SecDef or anything, but senior enough that serious pressure will need to be brought to bear.
How to do this?
1) Research her past cases and start blogging them/analyzing them. Almost certainly she has a history of extremely aggressive prosecutions. Find any statements from her on this or past cases that are factually inaccurate; highly likely as we are talking about a technical matter where "series of tubes" comments are likely. By the end of this you will have a profile. Perhaps you can show that she disproportionately pursues excessive sentences, or perhaps you can show that she makes technical mistakes about the internet. There are few records that will stand up to deep critical scrutiny. Maybe a bit of statistics to see if she is an outlier relative to other US Attorneys or to her immediate predecessor.
2) Go to LinkedIn. Find your closest contact at the Boston Globe. Work with them to write a story on Ortiz. Tell them they are the only ones that can do it. It is important to actually get a reporter to get Youtube video of Ortiz either answering questions or running from them, as they have much more license to get in the face of a US Attorney. A guy on the street who tries Michael Moore-ing Ortiz with an ambush interview on her way to work is likely to get cuffed for harassing a peace officer or something.
3) Repeat the above step for anyone in Boston with a media credential. A good step is to find anyone who has gotten Ortiz on the record before, e.g. Elizabeth Murphy from the Boston Herald (http://www.mainjustice.com/2013/01/07/mass-u-s-attorney-carm...). Tell them the truth, which is that only the press can hold a prosecutor like this accountable. They need to push for quotes on the record and press conferences, and ask over and over whether she believes her actions were right and her conduct was justified.
4) Determine who her technical superiors are. These are the people in DOJ who are above her on the org chart:
Looks like US Attorneys report to the Deputy Attorney General (James Cole), who reports to the Attorney General (Holder), who reports to Obama. A direct top-down attack is going to be tough as these are national figures.
5) Determine who her political superiors are. This is a much broader list. Everyone from the mayor of Boston to the governor of Massachusetts to both MA Senators to the chair of the MA Democratic party can take a swing here. Those are all players within the MA political establishment that she needs to listen to. Might be obvious, but it's critical (and easy) to make the case to other Democrats, as Swartz was a Democratic activist and this was truly blue-on-blue violence (though Ortiz is hardly a "Democrat" in the sense of mercy and fairness). Undercutting her political support and making her realize she has no more political friends in the world will cause her big problems.
6) Relatedly, go through the press and make a list of everyone who has ever endorsed her in public for anything, from the local Latino/a groups to the people who got her on Obama's shortlist to the local Democratic politicians. Call them up, explain that her overzealous prosecution led to the suicide of a 26 year old computer wizard (and Obama activist!), and ask them on the record whether they will support her for higher office. Ask them whether Ortiz shoudl resign. Blog this, with SEO for the headline: "X declines to support Carmen M. Ortiz for further office." or "Y calls on Carmen M. Ortiz to resign for spurious prosecution of Aaron Swartz."
7) Asymmetric warfare. This one is not illegal, but you would want one of your law school friends who worked in the US Attorney's office or in the press to do it (especially the latter as they will have some immunity). The concept is to interview as many of the 200 people in the MA Attorney's office as possible to determine how many of them feel good about these events, think Ortiz was in the right, or feel like Ortiz has been a good leader. It is quite possible that someone will describe a political or even personal scandal known only to subordinates or immediate associates. An Eliot-Spitzer-Client-9 level scandal uncovered in this fashion would absolutely knock her out of the ring, though it wouldn't be as satisfying as seeing her forced to step down for pursuing this case. But getting Capone for tax evasion is still getting Capone.
8) Swartz's friends. Anyone who has blogged or written about this case is someone who can likely be counted on to amplify the messages above and keep the pressure on.
EDIT: Aha. Looks like this same person went after online gambling under UIGEA to "send a message".
However, it is a story that could serve a larger purpose than just ruining this woman's career. I would like to this effort put into something more constructive like the decriminalization of copyright infringement. It could be relegated to a civil issue, especially online (versus manufactured goods).
There will be other overzealous prosecutors to replace her, but if the law is changed. It could serve a greater purpose.
"Naming and shaming" gives her name recognition and boosts her credentials as "tough". Any publicity is good publicity for a politician.
Instead, you and your friends should be asking the Senators and Governor of Massachusetts (aka the gatekeepers to this person's career path) why someone who demonstrates such contempt for the concept of justice is representing the United States government. You should ask President Obama and the Attorney General why their administration tolerates that contempt.
If you want the law changed, you need to attack those who are perpetrating injustice.