I personally know this guy
http://www.computerconsultantsforum.com/forum/profile/?u=575 whom I invited to this board.
He does the "real" Jerry Weinberg I-am-so-proud consulty thing: speaking/lecturing, writing, talking up his value, and implementing. More advisory than hands on.
He's an ok guy and he's for real but I couldn't relate to him at all.
If you mean more hands on/applied computer work for hire but as an indie not through any agency... You need to look to the web design and web app milieu.
That area
ALWAYS today uses social media, Gmail, and other mass market intelligence gathering type services to market itself, to collaborate, and to interact with stakeholders during projects.
You can have your independence today but it would be interacting with clients and team members using those services that you have said that you personally won't use to the extent of using your real name with an email or file sharing service.
One common thing I've observed with all gig IT workers in the past 10 years is that they are overwhelmingly committed to using cloud based services, even the ones who are not really social media mavens. The concept of keeping a private local backup is somewhat anachronistic today - but that is due the ignorance of the younger set. I think it's good to have feet planted in both worlds as a security blanket measure.
Traditional business oriented "MIS" services for end users are now pretty universally through service companies and borks. Care and feeding of internal databases, accounting apps, scheduling and line of business operations... I haven't hear of any local indies who take care of end user business's systems, for years.
There are probably more specialized areas of programming/software dev out there that are outside the mainstream where you could maintain independence. But these tend to always have incredibly specific qualifications and barriers to entry, such as: legacy tool experience, business or technical or military domain knowledge and experience, or knowing one specific product, app or area of data or software.