As someone who works on a bunch of projects this is actually a big pain point for me as well. I haven't found anything that I have really liked that lets you roll up from the "todo" level all the way back up to the long term portfolio level and actually just started trying to build my own app for this myself.
If you want to chat on this topic sometime feel free to reach out.
There is an interval trainer app for running but I think it will work for this. Set it up for 5 minute intervals and you should get a similar functionality. The only thing is it won't run in the background so you have to keep the app open.
Fill bottom half with rice > Add Filling > Top off with rice > Press and done!