I'm not a programmer, but a tap-and-hold function could "feel" similar. Much like tap-and-hold over a web link will display options such as "Open in new tab" and "Copy link address," maybe a dialogue box could pop up by doing so - and instead of Open.. and Copy.. options, a list of the info you wish to display will pop up there, such as a list of names for 100% clinched routes.
So, the hover functionality could be replaced with hyperlink functionality of tapping and holding over a field on the screen, except the options contained within go nowhere - no links, for display only - and you can tap outside of the dialogue box to close without losing your place on the map (zooming, scrolling, etc) or having to tap a highlighted route to exit the dialogue. Anyone think this is possible or good enough for now?