Solveg,
Your original intention with the CCM was to see if the sizing you got in your fitting session was correct. You still will benefit from getting the CCM into rideable condition. If it fits well, you'll feel it in your body, not necessarily in the ride quality. It sounds like the easiest way to do that (least parts fit issues) is to transfer parts over from the Peleton. If you like it, decide then if you want to use the CCM that way or with a different setup, or to use the fitting knowledge to order a Vanilla or something. If you love it, set it up the way you really want. Cold-setting the rear should cost around $20 at a good LBS.
If you don't like the CCM geometry, switch over to the Peleton, think about what stem length will work on that frame.
You also need a decent Minnesota bike, soon. Building up the CCM will kill two birds with one stone.
As much as I love Mondonicos, that one might not be right for you.
Road Fan