Well I did a bit of searching and found the
South Stree Smokehouse
and it looks very promising and less than two miles from the hotel. It also serves pork tenderlion sandwiches so, with any luck, we'll be able to satisfy our food cravings at one spot. (We may still need to go the Local Bar - yes, that's the name - for tenderlion sandwiches to compare with the Smokehouse).
A promising review is at RoadFood.com: http://www.roadfood.com/Reviews/Overview.aspx?RefID=2250