Karakalpakstan is an autonomous region of Uzbekistan covering roughly the western half of the country. It consist mainly of flat rocky desert, and includes the shrinking Aral Sea.
Official Tourism Website of Karakalpakstan. Nothing on hiking though.
Interesting Blog dedicated to Karakalpakstan, with some info on nature and geography.
Nice website by David and Sue Richardson about Karakalpakstan and its population. Worth taking a look at, though nothing on hiking.