If you are thinking of a house tour, there are no plantations that I am aware of unless you want to look at the old Davies Manor Plantation house, but I somehow get the feeling that it is not what you are looking for. I would google it and call to see when they might be open.
You might be interested in the old homes on Adams in Victorian Village.
The Fontaine House and the Mallory-Neeley House. Unfortunately I see that the Mallory-Neeley House is closed to tours until further notice.
But if looks like the Fontaine House is still open.
And it is lovely and worth the time to see it.
I would call to verify when they are open too.
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And I have always wanted, although I have not done it yet, to do the afternoon tea at the Peabody. It looks lovely and you could probably work it in with a trip to see the ducks walk.
The National Ornamental Metal Museum is quirky and the last time I was there they would allow you to bring along a lunch to eat in their pavilion overlooking the river.
The riverboat ride is touristy, but it is fun. I do it every once in a while myself.
And then, if you have any interest at all in fireman stuff, the fire museum is a cute fun little museum. I like the Dixon Gallery which is a nice Impressionist art museum partially located in a lovely old house with really nice gardens. So when you get through looking at paintings, you can go out and walk about the gardens.
Personally I would look for a moderate hotel close to the expressway in one of the suburbs, maybe just off the interstate in Bartlett. (But that's just me.)
Then you can go downtown or to Whitehaven or whatever.