You would need quite a large MOSFET for a regular hot-swap controller to do the job, and you can't parallel them when linear operation is used; or not without a considerable amount of source degeneration, which defeats the purpose (big voltage drop at nominal current). Even then, at some point, too much gate charge will make the control unacceptably slow, or unstable.
A switching design, probably multi-phase, would be effective, but you'd have to create your own as I don't think such a thing exists.
Or single phase if the "slightly inductive" load is sufficient, and is okay with being chopped (and this doesn't emit destructive EMI throughout your system, etc..), but honestly at these currents, I'm okay with the added complexity of multi-phase control to save on filter capacitance, switch node limits, and scaling in general (SMD transistors and off the shelf inductors will suffice).
Tim