Good lord! Those no-seeums sound awful. The best remedy I've found to ease the itching of bug bites is: Don't scratch them! Not even once. The itching goes away much sooner if you don't, and the swelling goes down much faster too. I think that is because the scratching damages many of the body cell walls and spreads the active irritant around more, thus defeating your body's ability to isolate it and deal with it.

However, I've no idea if that no-scratch technique would help in the case of no-seeums. It certainly helps lessen the effect of mosquito and black fly bites.

One other thing that may help is to put a little lemon juice on the bite.