Good question. Off the top of my head I don’t think it’s never happened in my lifetime, but I could be wrong. If it has, it’s probably only been one time. But honest to God I don’t remember it ever happening.
Closest thing I found was 1975 when the Canes played FSU, Notre Dame and UF in that order over the final three weeks of the season (we also played Big 8 powerhouses No. 1 Oklahoma, No. 4 Nebraska and No. 13 Colorado back-to-back-to-back that same year ... all under a first-year coach)