I think the fastest way is to trade over 5 Plume Fossils and then revive 5 per reset. But that might be a bit difficult, with the fossils being once-per-save. If you're able to do Masuda Method, that's probably faster than reviving one fossil per reset, otherwise resetting is almost definitely faster than hatching eggs if both are at full odds. I'd need to time how long it takes for a reset vs egg hatching to say for sure, though.