Hello Mart56, Welcome to the forum
One of my favourites Red Rum says on the packet it has some resistance to Halo Blight, by how much, I don't know. But it is (imo) a lovely runner, quick to set a crop and I find good for growing in a poly -tunnel for either early or late season crops. Great tasting too. Sorry I'm not aware of any others.
Clearing up any infected plant material and disposing of it helps prevent spreading, don't compost it. I think it is can remain dormant in the soil for some time so if you have a fresh area to grow in next year, you may have better results. Or perhaps growing in containers might be possible? Plus from memory, I believe it is is transferable through saved seeds so start with fresh seed next year if you have been using your own. It's also possible, although unlikely that bought seed may have been the source of infection so again, use fresh.