It looks most like speck, I agree, but the common strain in most of the US affects only tomato, IIRC. There is a different strain that can also infect pepper. Eggplant has only been infected when done so artificially, such as for experimental purposes.
Bacterial spot affects pepper and tomato, but not eggplant.
Septoria can affect all three, supposedly, although it only infects tomato plants in my garden, even when peppers and eggplants are growing right next to affected tomatoes, and that really doesn't look like septoria to me.
None of these diseases will affect beans.
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