I was surfing around the Sparkfun web site when I found the GR-10.
This is the perfect device to make a tiny GPS capable of fitting in a 13mm airframe.
I also found they had a chip antenna which should work great.
Of course this was all in theory since the GR-10 is a 32pin device and at $65 I could not afford too many mistakes.
I also knew I would need a LNA for the chip antenna.
I started with the Micro Modular web site which had some good reference designs.
It was tough to build but I was able to get it done.
First because there are no markings were the pins are it is almost impossible to position the GR-10. So I used an exacto blade to scribe the corner pins.
I only put solder paste on the pins I was using for the GR-10 because I was worried about solder bridges.
And instead of doing the normal toaster oven trick I used my solder iron on each pasted pin to melt the paste to secure the chip.
Once the chip was down I solder pasted the other parts and reflowed it with the toaster oven.
I figured this would melt any solder paste left over under the chip that I didn't get.
Once all soldered up I tested it and it WORKED!!
With a board size of 1.75in x 0.5in this is the smallest GPS I know of.
Here is a screen shot of the GPS diagnostics I used to test out the GPS.

I finished up the tiny transmitter too.
The Tx mounts behind the GPS so with battery the complete telemetry package fits in a 3in long 13mm bay.