It would be interesting to "play with", but I can empathize with your loss of a $500 or so panel.
Is this a single cell panel, or a multi-cell panel?
Perhaps there are some advantages of the older Multi-cell panels as they may be easier to tear apart and repair.
I was thinking of heat stability issues of the cell....
However,
Your cell should be designed for a significant operating temperature range... It should be designed to withstand heat up to at least 100C - 200C, perhaps more. I wouldn't be surprised if some of the adhesives used are good for several hundred degrees.
As the cells are a multi-layer design, you almost need a few small pieces to experiement with different methods of disassembly. For example, you could try a solvent such as acetone or MEK (Methyl-Ethyl-Keytone) (which could easily damage any or all layers of the cell).