I feel like we could work out some kind of deal

Well the problem comes from us really, because our blood is too thick they need to inject saliva in our blood stream, which generates a reaction from our body, this is what itches and makes the skin swollen around the bitten places.

It’s because the vast majority of humans are allergic to their saliva, but if you’re very lucky you won’t be and then you get no itchy bites

tip: make a teaspoon hot, hot enough that you can stand, but not enough to cause a burn. Put it on the bite, the heat will kill the toxins that cause the itch, alternatively, depending on where the bite is, run the area under hot water.