Yes, you're getting me. I don't think I'd ride seven days a week as well as running, though...
Once you have a road bike, I'd certainly encourage you to find a group. Clear communication is key. They need to tell you what to expect in terms of speed, distance etc. and you need to explain to them that you're a beginner. Riding in a group is not necessarily the same as riding in a paceline - I'd say it would be a good idea to get reasonably comfortable riding at farily close quarters in a group before trying a paceline. Ideally you'd find someone in the group in a leadership role who was prepared to give you some advice.
It's easier to maintain higher average speeds in a group because you learn to draft - that is, to take advantage of the reduced wind resistance by sheltering behind other riders. The whole art of paceline riding is staying close behind the guy in front and rotating so that everyone does short turns at the front - "pulls" - and is protected the rest of the time. It can be exhilarating and very quick. But it takes practice to stay safe.