Let's keep the analogy going. Chris from Referral Key commented on yesterday's post that horses require a lot more resources to keep going than rabbits or turtles. And as the very sad death of the 21 polo ponies in Florida shows, they are delicate creatures subject to many ills.
The point is that you need to pick a pace you can maintain and stick with it. If you can only manage a tortoise-slow pace on your networking (i.e. a very small amount at a time), but you can do it every day you are still in better shape than an inconsistent rabbit. Sure, you're better off to be like a swift greyhound, but how long can you keep up that pace? Plan for a networking strategy that you can maintain for the long run.
Photo by CelticBlade from Flickr