TKC80 do indeed come in sizes suitable for the X, but they are only Q rated (up to 99mph). You might find them a bit hardcore, a bit too much of a compromize in favour of the off-road for the riding you describe. Have a look at
Pirelli MT60RS Corsa also. They are a V rated dual purpose tyre specifically designed for supermotos - very sticky on tar and work well on light gravel/dirt. Don't last long mind!