For what you are describing and wanting to do it does sound like you really want a tab with the “not yet complete” and a tab with the “already complete” hosts. However, if you don’t actually want to move completed hosts into a new tab then there are other options available:
For example you could assign a category or description or custom notes to rows that have been completed. Use ‘Actions > Modify category, description, location, notes, color etc’ Then sort by that column.
Another option is to use the Task Scheduler option to ‘Run task immediately upon detecting target computer online’. Apply that to every row in the grid and then start the scheduler and just leave it be and check back later.