After reading all of this information I would say that maybe the best technique might be to heat the veneer where it has lifted to allow it to uncurl, then lift it enough to work in Tightbond 3 to both surfaces. Using surface blocks of wood, clamp the veneer down to squeeze out the extra glue, remove the clamps and use a damp rag to wipe away excess glue, and then reclamp until set.
For those of you that have used heat to flatten the veneer, please comment on any downside to the heating and how much heat was needed. Not sure if the finish is damaged in any way or if flattening before gluing would work well.
Later Ed