Wish you could find that around here. Best with Buccatini, though - another thing that's hard to find around here.
Seems like the main pasta used here for all'amatriciana around here is mezze maniche, sort of like mini rigatoni. We use bucatini at home a fair amount, although I don't know how often one finds it in restaurants. We use it with tonno, capers, olives and breadcrumbs. A favorite.
I can't even imagine the food. But the Google tour of the I Vascellari restaurant itself, both inside and out into the street, is fascinating! From the vaulted brick ceilings to the cobbled street, with tables encroaching right out into traffic lanes! Italian drivers must be more lenient about giving up their domain than in the US!
Italian drivers are amazingly courteous. They won't notice you if you stand at a crosswalk waiting to cross, but if you actually step out in it they stop right away and let you pass. Not that it costs them much time. There is a lot of traffic.
One interesting and welcome development: when I was here in 2012 and 2014 the Via dei Fori Imperiali was overrun with street "performers" dressed in Roman soldier garb and other silly stuff, trying to cadge a few Euros to take their picture. It was worse in 2014 than in 2012. Now they are absolutely gone. Every one of them.