Most of my later working life was on HGVs mainly in Italy. I am guessing you will run the usual route down through France to Mont Blanc. The italian side of Mont Blanc is better these days with a new motorway most of the way down.
E25 down past Aosta to Santhia then you have a choice.
Either carry on down the E25 to Genoa and take the coast all the way to Rome via La Spezia, Livorno and Civitavechia
or
the truck route which is take the A4 from Santhia towards Milan, take the split from Milan down the E35 to Bologna and the E35 to florence and on to Rome. Take note that the final stretch from Florence to Rome is very up and down and few motorway services. However, that would be my route of choice.
On transiting Rome, the only advice I can give is that you are getting quite near to the Pope, practice your prayers.
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