You can use an Arduino break out board and plug it in to the Pioneer Ble board. You didn't state the size you required . Amazon and others have them in the Arduino shield sections.
I am sorry you want to plug in the Ble module to a breakout. You would need to make your own breakout board. the pin out layout is in the user guide PDF page 120 has the information for making your own board.
I needed something similar and started by trying to desolder the headers from the module, which was a bit of a non-starter. Think it would require hot-air and some patience. In the end, I used a dremel to cut of as much of the module headers as I could (Ensuring no shorts were left), and then soldered onto the header pins where I needed to.
Unfortunately, the two module headers are not on a 0.1" pitch, so you can't easily attach to a piece of vero-board. You can form 0.1" headers slightly, and can get creative with this type of header mounted vertically:
This may allow you to offset the pins by roughly enough, but it's always a tight fit.
What features would make a good breakout board. E.g. :
1) Matrix of 0.1" holes
2) CR2032 battery holder
4) Minimal size, or plenty of area to add more components?
If you want a breakout board for the PSoC Module (CYBLE-014008-00 32pin SMT Module) I have made the following and am sharing it:
It has a 24 pin dip footprint, header for the KitProg interface, and a dual LED onboard. Contact me for the Eagle files if you need/want them.
/edit: I have attached images of the schematic and board layout here, put I'm not seeing them after I post it...