Two concerns about that specific week: is that a rainy time of year(for Cinque Terre hike)?, and second weekend is 2008 Palm Sunday, which means what, re need to reserve hotels anywhere?. And factor in: many sites/museums closed Sun/Mon ..so best do CT or hill towns those days?
The two of us are first-time to Italy Mar1-17, flying into Rome (7 nights reserved), then open schedule until leaving from Milan at noon Mon3/17. Economy budget. Content to stroll side streets, and have modest but interesting food experiences. Not compelled to see every duomo/gallery. Perhaps prefer 2-night stays, rather than move every day.
The first Sat night after Rome will probably be in Perugia (to meet friend-of-friend living there), so next stop could be 2 nights based in Siena/hill towns. Also fit 2 nights in/near Venice? Florence could be daytime pass-through or a night? My main puzzle is working backwards from the Milan noon-Monday departure: I've little interest in Milan, but wonder if it's unwise to sleep in some other town (east x-Venice or west/Genoa) and risk missing the flight home?
I have an uninformed bias to approach Milan after a Cinque Terre experience, and a curiosity about Genoa's old town ..which would mean Fri-Sun nights CT/Genoa/Milan, unless Palm Sunday weekend is somehow an issue?