Ancient Dendrobium speciosum in slat basket

[Stray59]

Hello everyone!
I am volunteering at our local museum greenhouse, helping to revamp and re-build their orchid collection. As I understand the history, about 40 years ago an area grower bequeathed an orchid collection to the museum greenhouse and they formed a nice "orchid house" just for the collection. Over the years a variety of managers, greenhouse workers and volunteers have been in control of the care. Needless to say, not all of them were orchid-educated, and the collection has suffered. Plus, as it is open to the public, there is always the additional problem of people handling, breaking off pieces, and most likely contaminating the plants with viruses/bacteria/fungus. So, recently a descendant of the original donor has provided funds to rebuild the collection. With that spirit, many of the older orchids are either being weeded out (very likely to be viral) or, if at all healthy, repotted and properly fertilized, etc.
Several years back, when the greenhouse staff was less involved with the collection, someone just sat a Dendrobium speciosum down in a basket, not even bothering to break the root ball or to put additional potting media around the roots. The whole thing is quite large and NEEDS dividing and repotted.
My question? How would you do this? Break the slat basket and then divide, or try and pry the plant out? I was thinking I would divide the plant so I was not that worried so much about the root system as it is really very robust. But, I was wondering if I should just repot it into a large pot and not divide it as it is really a nice size specimen. The plant bloomed this year with three spikes and was quite impressive. I have not had this species myself and am not sure if they want to be divided or just left in large clumps. If I am going to divide it, I want to dig into doing so before it starts into growth.
Input?