Hi,
The mode you're using is based on the Joomla accordion (pane) system.
In HikaShop, we have a special helper which allow us to use the pane/slider/accordion system depending the Joomla version (and the bootstrap design option).
I found an article which explain the basic of the Joomla pane (JPane)
tutsforu.com/panel-slider-using-joomla.html
As you can see, in HikaShop, we set the title of the pane as the title of the category (with a link) and we add the sub categories as the content of the pane.
The rest is handle by Joomla and by your template (which will style the pane).
I made some tests and I couldn't tweak the JPane display like you want.
I don't know if you want to keep something dynamic or not ; but I can recommend you to use the "simplelist" option which will use a classical ul/li structure and not the Joomla pane.
Otherwise, some extensions are proving some similar features, like MaxiMenuCK / AccordeonCK
www.joomlack.fr/extensions-joomla/maximenu-ck
And some other extensions listed in the Joomla Extension directory
extensions.joomla.org/tags/hikashop-extensions
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.