Hi Greg,
Lightroom 11 won't do what you would like, but I do have an improved workflow for you: Rather than manually sending individual images into Photoshop as you describe, find them in your Grid View in Lightroom—select the ones you want to stack (that is, make sure they're all highlighted), then go up into the menu to "Photo," then "Edit in," then "Open as Layers in Photoshop." Lightroom will send them all into Photoshop, and they will automatically get stacked into layers for you.
From there, take things as you likely are doing already in Photoshop ("Auto-align layers," etc.). It's not a complete Lightroom-only solution, but until Adobe offers that, this will at least save you some steps.