As a short excursion von Khiva, I visited the Complex of Sheikh Mukhtar-Vali. It's a bit to the East, less than 30min drive, most of it being spent on getting out of Khiva. The mausoleum is situated on a scenic cemetery. It is dedicated to yet another sheikh, the founder of the local town, Ostana.
The mosque is nice and quiet. While I visited a local couple came to pray in the mausoleum.
OUV
While it sure is a nice visit, there really isn't anything outstanding about the site that warrants an individual inscription. At most, seeing the proximity to Itchan Qala I could see it as an extension.
Note: This is not part of the Silk Roads serial site nominated in 2023 as the corridor moves South from Bukhara to Turkmenistan.
Getting There
Hub is Xiva/Khiva. See Itchan Qala for my comments on how to get there.
From Khiva just get a driver to take you to the mausoleum and back to Khiva. You can haggle with local cabbies as I did. Or you get a driver for the whole day, add some of the Desert Castles (T) and Khazarasp (T).