There are several museum ships in the area, some are better than others. The USS Torsk and the Lightship Chesapeake stick out in my memory as being better, though I can’t remember trying the USCGC Taney.
Definitely head over to Fell’s Point, both for the historic aspects and Max’s Taphouse. You can take the water taxi to Fell’s and Fort McHenry. You get an all day pass, and it’s a very scenic ride. Depending on when you get in, some tall ships might still be around early in the week in the Inner Harbor.
Mt. Vernon has a lot of nice restaurants (and the first major monument to George Washington), as well as the Brewer’s Art brewpub. I’d skip the Poe house unless you have lots of free time on your hands… his grave is closer to downtown. The American Visionary Art Museum is also a cool place.
If you have the time, Gettysburg PA is a bit over an hour away. It is worth the trip if you like history. Everybody has heard of Gettysburg but going and seeing it in person brings a huge new perspective on what happened there.
We spent a weekend there a year or so ago without a car. We took the light rail from the airport and stayed in the Inner Harbor area. The water taxi to Fells Point is cool, but it is also close enough to walk to and fro by way of the Italian district.
The Poe cemetery is also a good choice. It is close by Lexington Market, also worth a visit, although it is not in the best of neighborhoods. It is the oldest operating market in the US I think. There is a really cool public library near there if you like architecture.
We visited Baltimore Museum of Art also.
Besides what you have, here are a few things that I’d recommend.
Bromo Seltzer Tower - If you got time on Saturday, I’d head over to the Bromo Seltzer Tower. It’s like a 5 minute walk from the convention center. There are a bunch of art studios in the building and you can get a tour of the clock room at various times during the day. http://www.bromoseltzertower.com/open-studio-days.cfm
B&O Railroad Museum - I have a membership and love going here with the kids. There is an amazingly beautiful roundhouse here as well as a bunch of old locomotives. I’m not that big of a train guy, but I really enjoy going here. It is walkable to get here ~20 minutes. http://www.borail.org/
Maryland Zoo - It’s a nice, very walkable zoo. It’s nothing as huge as the National Zoo in DC, but they have some cool animals here and it’s a great place. You could take the light rail there, but it’s a bit of a walk from the closest station. I’d say taxi or Uber if you want to go here. http://www.marylandzoo.org/
American Visionary Art Museum - I’ve only been here once. It has quite the eclectic collection of art. Outside the building is cool to walk around too. It’s within walking distance of the Inner Harbor. http://www.avam.org/
Walters Art Museum - I’m ashamed to admit, I’ve lived here for 17 years and haven’t ever been, but I hear it is fantastic. Best part is that it is free to get into. So that might be fun. http://thewalters.org/
If you have a car and want to get out of the area, I totally agree with the recommendation to drive to Gettysburg, even think about stopping at Frederick, MD along the way. Annapolis is beautiful this time of year as well.
Please feel free to shoot me an email if you have any specific questions: bosoxbrent@gmail.com
Glad to have you coming out to our city and hope you enjoy yourself.
What I think is cool about this old market is most of it is inside, but it is sloped, like you walk downhill on an old tile floor from one side to the other. It’s a great place for different lunches, but not as “safe” as Readinf Terminal Market in Philly. I had a soft shelled crab sandwich at Faidleys last time. And a beer. They have beer.