That extra detail helps a lot. Theoretically, that's too much capacitance for good stability. Practically, though, it could work. Are you planning on using remote sense or local sense? If you're using local sense, all that connecting wire will add enough resistance to make the load more resistive than capacitive at the loop crossover frequency. Ironically, adding even more capacitance at the DUT could make that even more true.
If you're using remote sense, then the resistance will be limited to the ESR of the capacitors you use, which might make it more problematic. There's probably some load bypass network that could be made to work fine, though.
Another irony is that in situations like this, "Fast" compensation could be more stable than "Slow," because its higher loop bandwidth hits unity gain at a frequency where the load is more resistive, whereas it's capacitive at lower frequencies.
