I love both. I went from 350Z to C6 to 370Z. All the feelings I have for loving the 370 now, I had at the time I bought the vette new in 05. I had a custom widebody supercharged 05 C6. I track my cars, but the corvette just never really did it for me on the track. I loved the car, and had it for almost a whole year after I got the Z, but I finally decided to sell it because there was no reason to have two non-daily drivers and 4 cars between just my wife and me. Both are awesome cars, but I feel the Z is a little more challenging on the track than the C6 and I just like it better right now.
If you are on corvetteforum, you may be familiar with me as the powdercoater known as 'corvette pilot'
If you have had your Z06 for a while, I don't think you will be disappointed with a switch. Change is good.