I've found that an oval diamond chef's 'steel' works very well for recurves, especially when something a little more aggressive is needed to repair or thin the edge. They're often around ~ 600 grit, and in lengths of around 10" - 12"; the wider oval cross-section is usually a pretty good fit for recurves, putting a wider swath of abrasive in direct contact on each stroke. For other minor touchups, any round rod sharpener, such as a ceramic rod, will work well also. The ceramic rods can be used for additional refinement to higher finish, if desired.
Either of these rods can also be held 'Sharpmaker style', either by hand or in a self-made, angled fixture, if that type of setup is easier to use for some. Or alternatively, they can also be supported horizontally and used like a bench hone. Not too expensive either; I've got two of differing brands in 10" and 12" lengths, and didn't pay more than about $26 for either one of them. I think the cheaper of the two was about $22 or so.
David