Ehhh....
Here's my thoughts ...
You can probably salvage at least some of them. Hard to tell how wet they are from the photo - you'd have to look at the feet. The really wet ones might not be salvageable, but the only :"lightly moistened" ones should be recoverable. Get them out of the cello, you can save it if you want, yes, it's porous and breathes, but these are a bit wetter than normal...
Minimize the amount of handling of the cigars, so that you don't damage the wrappers.
You need to dry them, without too much heat, as moisture + heat = invitation for mold & mildew.
Two ways come to mind for that...
First, a take on the cold drying rooms in factories: I'm thinking single layer on a cookie cooling rack in a container in the refrigerator. Leave the lid off or punch a bunch of holes in it to allow for airflow and prevent condensation. And a lot of patience, it's going to take time.
The other, much faster,maybe even better if the cigars are very wet, is that you could get a box fan, a stack of pleated air filters, some bungee cords and dry them the way Alton Brown dries his beef jerky. Might take a few days, then you'll have to put them into a humidor for a while to let the wrappers re-humidify.
Skip to about 4 minutes in:
Also, keep in mind that this was rainwater, or melted snow, not distilled water, they might end up with a funky taste from the water.
Something else to consider - what's your insurance policy deductible? I'm serious. You should be able to claim these cigars, it's just a matter of if the deductible is going to make it prohibitive.
Good luck.
