Got a circuit.
I'm using a high-side P-channel MOSFET to prevent damage when the battery is put in backwards. The FET is put in "backwards" (battery to drain, circuit to source) to point the body diode in the correct direction.
When the battery is inserted, a capacitor on the circuit side of the FET charges up, sucking a considerable amount of current very briefly. The current is briefly conducted through the body diode, then when the voltage rises high enough the MOSFET (whose gate is connected to ground) turns on.
I can calculate the number of Joules that this dumps into the MOSFET, and the data sheet has a transient thermal response curve. So I could calculate whether it's all safe -- except that I don't know if those curves would apply when the thing is being back-fed, or during the time that the current is flowing through the body diode junction.
Any one have any mileage with this?