Indie, I'll admit I sometimes clean out my ears with a syringe of hydrogen peroxide. Tilt your head, put it in the one ear. It fizzes and bubbles and sounds weird, but then you tilt your head to drain it out and it does work for me. (the obviously do it for the other ear )

Where in your ear is it itchy? Outer ear? Inner ear? Down the tubes in your ear, ear?

Outer ear is pretty easy, inner ear and in the tubes, it could be you have smaller tubes in your ears.

I have been told doing that long-term can cause your inner ear to become dried out and more itchy though, so be forewarned about that.