Hi Bob,
Personally I've always had more success emailing first. Then I follow up with a phone call. Reason being is that I found myself spending way too much time explaining myself to someone who had no idea what I was talking about or who I needed to speak to within the company. Even when I eventually did get through to the right person, it was difficult to get their attention without sounding like a cold call sales person.
Secondly, people are bombarded with nuisance calls now on a daily basis, to me it shows some respect when sending an email through first (no harm in mentioning the fact that you're avoiding to call them first).
The best route in for me at the moment is Linkedin. Easy to find specific people within an organisation that you know you need to speak to make things happen. Tend to get a better conversion rate through this.
Cheers, Steve.