Solution for wireless transmitter.

So I got a NUX Air and was really enjoying it on my other guitar. But when I tried to plug in to my S570 I find that the hole is too small to accommodate the girth of the transmitter. I got a patch (1/4" male to female) and I'm not really fond of it. I'm routing the adapter cord through a D'Addario strap lock (PW-DLC-01), but when I plug in the transmitter off the adaptor the thing just hangs there like a 70 year old ballsack. This happens because the adapter cord is thinner than a regular cord. I couldn't find anything that would work well....other than make it myself.

Anyone have a more elegant solution?