I just started a project that is adding the design to an assembled quilt. It's a round robin, so not full size yet - only 54*54 so far.
I am hooping the stabilizer and using Elmer's washable glue to secure the quilt, then using clips to keep the quilt out of the way. This design took 2 hours to stitch out and it worked well. I had a rolling chair in front to drape the quilt on, and it moved back and forth with the carriage as needed. this design is 12" long, so that is a lot of carriage movement.
I am doing this before the quilt is sandwiched. I have "heat away" stabilizer that I could use if the quilt was complete. Or I'd use washable, since I always wash my completed quilts before they go out of my hands.
I have also basted items to the stabilizer in the hoop when it was the only good way to do so. Either by hand or machine, my straight stitch machine can make really long stitches for basting.
emboridery