What to do when a toe-kick saw doesn't fit underneath cabinets?
Get one of the 'sonic tool' saws. That should fit. Buy 3-4 aggresive blades to cut that much floor.

Here's a link to one. There are many out there. Make sure you get a corded model, with the fastest 'rpms'.

https://www.rockwelltools.com/saws-sanders/sanders/sonicrafter-f80-oscillating-tool-rk5151k.html