I don't want to intrude too much here but I have made a similar sort of menu, sort of like the example on codepen all within Site Designer, no HTML, no outside CSS or JS dependency, totally within SD, all elements can be styled according to wishes.
A link to the forum thread https://www.coffeecup.com/forums/website-design-and-development/menu-similar-to-drilldown-on-codepen// for a short demo if anyone following the progress of this thread wishes to have a bo-peep can hop along see what can be done within Site designer
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