My current LinkedIn strategy is to send out about 20 connections a day Tuesday - Friday and then send 2 cold messages Tuesday - Friday to people who have accepted my connection request.
Eventually, I'd like to get those numbers up to 100 connection requests sent a week and 5 cold messages sent Tuesday - Friday for 20 messages sent a week.
When a connection request is accepted, I add them to my CRMJot.com account. My goal is to write the messages out at least a day before so when I send the message, all I have to do is copy and paste it from CRMJot into LinkedIn.