I've got a Lansky 'turnbox' sharpener that was cheap and is ok for field use. It's 2 medium ceramic sticks in a wooden box base, it's 'bushcrafty' and portable. It'd do recurves but is no match at all for Lansky stone and clamp sharpening, (which of course won't work on recurves..).

Scrappy- you hit on my favourite prayer when ordering a Dan knife 'Oh Lord, please let this one be sharp'.. Sadly three for three so far in the blunt as a banana stakes. BUT buy a Dan recurve anyway they're cool!