I ended up with two containers of cucumbers--two plants per container--and both containers have been producing fruit fairly regularly. These are the Spacemaster variety, so they are supposed to grow well in smaller spaces. The fruit is pretty tasty, although the skin is very bitter so they are best eaten peeled.
And, best news of all, I grew some okra from seed! I actually have two okra plants growing and producing spears at the moment. I'm still only getting one okra at a time, but that's progress, right? Sort of.
I did notice some spindly-looking okra plants in the demonstration vegetable garden at the Natural History Museum recently. So, maybe okra plants never get that busy, at least in home gardens. I am keeping both plants in full sun and fertilizing every couple of weeks, so I am hopeful that they'll continue to produce. I might even beat my previous record of four okra in a season.