Hello,
I read the archives of the Tinkerphones (previously OpenPhoenux) community mailing list, and it appears that Nikolaus - the man behind the GTA04 smartphone and influential in the Pyra and Neo900 projects - may end up making the processor module for the Pyra handheld available as a separate item:
http://lists.goldelico.com/pipermail/community/2016-September/001505.html
Unlike the EOMA68-A20 card, the Letux Cortex 15 uses an OMAP5 processor, and so there are certain issues with freedom aspects of parts of the software (it incorporates PowerVR). That said, there is an active effort to keep the software as close to the upstream Linux kernel as possible:
http://projects.goldelico.com/p/gta04-kernel/
What's interesting about this card, though, is that it could almost be done as an EOMA68 card: PCMCIA dimensions are 85.6mm x 54mm; this card is 81mm x 33mm; it has on-board RAM, flash memory, and a variety of interfaces that EOMA68 also has. However, it is possible that in attempting to offer a PCMCIA-style connector, a different layout might then become necessary that might not fit within the appropriate area. And although it would have been great if the EOMA68 profile had been used instead, that might have had implications for its use in the Pyra.
Nikolaus notes that it could be used with a "to-be-designed" motherboard. If only it could have been made to plug into the micro-desktop or laptop offered in the EOMA68 crowd-funding campaign. Then, its audience might have been broader, the demand for boards higher, and perhaps the unit costs lower for the Pyra project, too. :-)
Paul