Lucky's Puccias is known for authentic Italian sandwiches, served on homemade wood-fired bread. The reviews on Yelp rave about the quality, freshness, and tasty-ness. They share a lot with the Tiniest Bar in Texas, so cold beverages will be flowing and plenty of shade-tree covered seating is available.
Afterwards we can move to west 6th and see what kind of trouble we find.
The best option for parking is at Whole Foods, directly across the street.