Eleonora beans

Broad beans are very prone to blackfly - you could try the traditional remedy of pinching out the growing tips to discourage them, but I find them reluctant to shift once established.

Spraying with dilute washing up liquid (no more than about a teaspoon per pint) works quite well for me, although you may have to do it more than once, especially if it rains.

I've found out that they haven't affected the beans, so I am more concerned if I should get rid of the whole plant once it has a decent crop or it will flower again and give me beans. Of course, with that dirty look, I feel like a bad mother ...

I've found out that they haven't affected the beans, so I am more concerned if I should get rid of the whole plant once it has a decent crop or it will flower again and give me beans

Once they have flowered and set beans, pick the beans when ready and then pull up the plant for compost heap (or dig it in) as they don't flower again.