How to choose a properly rated power resistor for pulsed current?
First of all: rule out thin-film resistors (should be intuitive, actually). Thick-film resistors can work well. But, as always, assume nothing: read the data sheet!

Wire-wound resistors have a good surge reputation, but even non-inductive resistors have higher inductance than, for instance carbon-composition types.

Carbon-composition is an old, but still reliable technology and should be considered, especially if cost is a concern.

If you can spend a bit more, ceramic composition might be considered. Heat tolerance is good.

Finally, don't forget cement resistors, which also have good heat tolerance.