I had a very similar experience of Milan. i stayed at a hotel by the Indro Montanelli park. arrived as it was getting dark, ditched my bags & headed out for a quick stomp round town. really not much going on in Milan i found? not so many bustling bars & restaurants you usually find in big cities – just loads of handbag shops! Anyway, had a mooch past the Il Duomo, wandered through Vittorio Emanuele II n’that then ended up eating here https://www.pizzeriamaruzzellamilano.it/ as it was near my hotel.
I have to say it was fantastic. definitely rustic too, certainly no tourists knocking about when i was there, its intimate, tables so close together its almost like bench seating! pretty interesting watching what the locals order.. cant remember what i ate, probably a pizza, but washed down with beer, wine, coffee and limoncello. bang on.