Gravity froms/ gravity view and optionally (gravity flow) offer the opportunity for a pretty neat kanban style project management and timesheeting application. The missing piece is the drag and drop kanban view.

Having run into a requirement for some timesheeting and basic project management functionality I was looking at :
https://kanbanwp.com/

I really liked it only to realise that its integration with gravity forms was only one way ( you can create entries via gravity but updating kanban cards doesn't update forms etc) When I also realised it doesn't have reporting or analytics yet either I decided to do it myself. So i began implementing this with gravity view which to be fair works really pretty well apart from the clunky kanban interface which is just a tabular view. However seems to me you are so close to having this functionality already All it would take is a bit of drag and drop magic and gravity view would be able to pull off some sweet project management tricks.