Short term basis, immediate solution to the problem, is the commercial battery-backup UPS system rated for the 100 KVA with the startup surge you mentioned.
It sounds almost contradictory, but for this case, don't try to over-design something "perfect" because the ideal solution might always be "one problem away" or "one budget too expensive" or "one more part needs to be optimized" (or designed) to make the "best black box" from getting solved. For example, the Army had a problem with its boots in the desert. So, to solve it, they used the original "bad boots" in the desert for 15 years (and still are using them) while the Army/government/research labs/universities/bureaucracies tried to get new boots. They were on the shelf the whole time fro commercial fabricators. The new boots have at last been designed, but are not yet fabricated. None have been issued. "Testing" is still underway. )