It would obviously be very risky with what you've got, especially as the CPT flight is not one you want to throw away (it would be different in reverse).

I have done a same day connection to QR at MXP but even that I knew was taking a risk as if it's cancelled or severely delayed you have no backup plan. In your case going the night before would definitely be safer. If you do want to go in the morning then definitely would change to an early MXP flight rather than risk transiting from LIN.