At risk of showing my ignorance..
In my past life, I used microscopes a lot, but never really worried about fine theory about their workings.
I’d guess the best way forward depends on exactly what the user wants from it. Have you considered a change of objective lens, assuming such exists, You would lose some depth of focus but hopefully get a higher quality initial ‘image’ before magnifying it further?
It’s been many years since I had cause to make enquiries at Brunel microscopes, but always found them very helpful when I did – mostly to do with recovering from damage caused by accident or neglect.,,,
pgk