I'll jump in. You mentioned ceramic-like material but, also mentioned TSC and also mentioned dust. These things don't go together. Are you wet machining or dry machining the material? If you're not specifically doing deep hole drilling or unusual pocketing, through spindle coolant is going to be more headache than it's worth.
There is a high pressure coupling up in the spindle head that both does not like being run dry all the time (needs coolant for lubrication) but, also doesn't like abrasive grit (which will damage the sealing surfaces). Even if you dry machine the material, getting that crud in the coolant will probably damage the coupling and even the spindle taper and tools from leaking coolant during tool changes, etc. If the machine is going to deal with dry materials, completely skip any idea of TSC.
Then there is the matter of the material getting onto the guides and screws of the machine. Way covers are not perfect seals. They are more like umbrellas. Things still migrate up under the covers, or behind the wipers. It gets into everything. If you mix coolant with an abrasive dry material (alternating between metals and this mystery material), you'll soon have a grinding paste that will destroy everything.
My recommendation would be to buy a dedicated dry machine. Buy it cheap and plan to scrap it every few years. Something Haas used to offer on the VF line is a pressurized way cover option. It's not on the website but, ask the sales guy if the factory can still do it. They put fans on the column and base castings to keep positive air flow under all the covers. This option was aimed at the EDM electrode market, machining carbon and copper electrodes in a dry environment.
If that's not an option, I'd still think about adding blower fans to the column and try to close out any air gaps you can to force air out from under those covers. I'd look into synthetic coolants that don't leave a sticky residue and as you already mentioned, the centrifugal separator and do your coolant pickup from that tank, not the one taking drain-back from the machine.