I believe
this is the unit you have.
They make a range of adapters, and they seem to use the same antenna on each. So it looks like the antenna may be removable. It should be a normal threaded connector. If it can be removed, let us know what the connector inside looks like. Unfortunately there are several types of connectors and some look disturbingly similar.
Here is a site which lists some of the types you may have.
This page lists a whole lot more, but only one is interesting -- abut 3/4 of the way down the page is the SMA connector. This is slightly different to the RP-SMA in that the pin is on the male part (the RP-SMA has the pin on the female end -- which suggests that it is somewhat confused about its sexuality, but that's another discussion)
Here is a third option, lower quality and without any measurements:
As for the antenna, take a look at
this page. This is probably the best bang for buck wifi antenna you can make from bits of scrap.
My recommendation would be to get an N connector and mount it to the PCB (or a flat piece of metal) and build the antenna on that. Then get a short pigtail to connect the USB adapter to the N connector.
Your only expense would be the pigtail and the N connector. The rest you should be able to beg, borrow, or steal.
You may need to harvest a short piece of copper tube to extend the connector the appropriate amount, and then you'll also need to have a short wire from the central connector within the tube. It's also possible to just build the "bowtie" without the reflector. This is pretty trivial to do on a bulkhead N connector.