In the PNW, we can have very wet winters and springs - that's when the bulk of our annual rainfall occurs (this past year we broke quite a few records!!). As long as the soil is well-draining, the bulbs do just fine with this very seasonal wet weather and damp soils. Never have had any issues with bulbs rotting.

btw, this area is also the largest commercial bulb growing area outside of the Netherlands. And they tend to have some pretty wet soils as well ;-))

Might be a bit trickier with a wet and warm summer...but narcissus seem impervious, growing like weeds in the very wettest parts of the UK. Tulips though - I woudn't bet the farm on them returning.