Bachus, you asked for it. Here we go.
Pyle-Pro PMEM1 Headworn Omni-Directional Microphone (3.5mm / 1/4'')
I bought mine for around $12 USD.
https://www.amazon.com/Pyle-Pro-PMEM1-He...dset+microphonehttps://www.bhphotovideo.com/c/product/8...hone_beige.htmlRead all the positive reviews. One verifed buyer on Amazon says,
"I must say that the technical spec's on this unit are about the same as, if not identical to, that of the "Countryman" or "Audio Technica" units costing upwards of $300 (which I have used many times), and to be honest I've not yet noticed any significant difference, other than the fact that it cost about 5% or less, of the price of the "allegedly" better brands. It has worked just fine for both speaking and singing, and with none of the undesirable noises and hypersensitivities that I've experienced from other products".
I thought I was buying one to use in the rains as a backup so to speak but I was pleasntly surprised to find out that this mic sounds as good, if not better than a couple of much more expensive headset mics that I have. I liked it so much that I bought two different types of connectors to use with my wireless systems. It seems that this particular model will fit your Korg PA4x with the 1/4 adapter included with the mic.
Still, if one is looking for a headset mic with handheld mic quality, the CMA311 seems to be the best option.