“A headphone extension cord will not introduce static”
It will not introduce static, but will it just relay the static already there?? The problem is with the wireless headphone static that I can’t get rid of.
Yes, if there's static going into the cord there will be static coming out. You said you were looking for a new pair of headphones, but that the cords are too short. Assuming the new pair does not have static, which they shouldn't, using an extension cord will be perfectly satisfactory to get the extra distance without any degradation of sound quality. I do think you should consider Bluetooth, though. It has gotten very good. You may need a Bluetooth transmitter to make it work with your equipment, but they are readily available and inexpensive.
If you’re using using equipment that relies on 900Mhz, then you could be getting interference. They’ve been rearranging the spectrum to free up space for new wireless devices.
I had a setup somewhat similar to yours, except mine was Bluetooth. It was a Belkin device that ran on A/C power and plugged into the RCA audio jacks of, whatever. (I can’t tell you the model number right now. It’s out in the garage and getting to it at the moment would be a pain. Besides I’m still working on morning coffee.) Pair my wireless headphones up to it. Worked great. I don’t use it anymore because my backend equipment has been upgraded and supports Bluetooth natively.
I think you can still find something like it. Check out Belkin’s site. Either way, you need to upgrade to Bluetooth.