Sorry, but if you are awkward then, you will be so over the phone or Skype.
If that is really a problem, either practice until you get comfortable with it (you must have many non-business opportunities available to you), or, as Cross99 says, hire someone.
Communication is a fundamental skill to your success.
Frankly, if you were targeting local businesses, and it were me on the other end, I'd expect you to meet with me. It is part of how I can evaluate local talent. If you were some distance away, then I would Skype with you. It is a key part of building trust and a long term relationship. Anyone who won't do one of those two things then comes across as "hiding something".