I'm not familiar with your particular speaker, but most commercial speakers use similar processes in manufacturing. Something will have to give. You will likely have one of the following:
-Enough wire length to remove and access if everything is soldered.
Or
- Some type of disconnect. Slip on or crimp connectors are often present at the driver terminals and binding posts, or on the crossover board.
Look for the crimp or push connectors. If everything is truly soldered then cut a couple wires. If you have the capacity to remove and replace capacitors on the board then replacing a couple of the wires should be even easier.
I've been guilty myself of spending hours strategizing how to avoid 10 minutes of work. If you don't see any push connectors, save yourself the stress, cut the wires and replace it with longer pieces when reinstalling the crossovers. Just about any new wire would probably be an upgrade to original factory wiring.
Good luck.