As I see it, there are three different workarounds
- Cut & Paste by 'Selected Level'
- Select Individually
- Hitch a Ride in a Group
This is the easiest option and is fine if you haven't got any annotation
Select Individually
This is fine until you hit a certain point, where the original problem kicks in. One visual indicator is that providing the 'Pick New' button is still lit, you will be able to change the workplane. If you hit the limit, just use shift+click and remove the last beam selected
You have a view with beams that are annotated with tags.
You want to amend the workplane of some of them, while still showing the beams and maintaining the tags in that view. Select the beams and the tags and group them together. This will create a model group with an attached detail group. Change the level of the group to the required level, then ungroup and delete the group from the project browser. The beams should now be at the amended level. The tags will show, providing the new level is within the view range of the view.