Hello,
I have previously developed online publicity campaigns for other artists. In order to find relevant influencers to pitch your music to, I will need to have a listen to your music, learn more about yuor audience and it will also be helpful if you have an EPK in place.
Would you please share some details about the release itself. You say 3 songs. Are they part of an EP, or an upcoming album? When were they released? My previous experience shows that most bloggers look for new music, and I had a release rejected, because it wasn't recent enough, although it went out 2 months prior to the pitch. And if the songs are part of a bigger project, it will strengthen your campaign, as it will give exclusivity. Like "Have a sneak peek in my upcoming album"
As of my style of work, I want to note that I don't send cold e-mails. I research each person in charge of a given medium and personalize the message as much as possible. Most people appreciate it and are more open to talk to you.